Jan Eisner - Academia.edu (original) (raw)

Archaeology Transcarpathia - Literature, sources by Jan Eisner

Research paper thumbnail of Jan Eisner : Prehistorický výzkum na Slovensku a v Podkarpatské Rusi roku 1931 / Prehistoric Research at the Slovak and Carpathian Ruthenia in 1931

Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVI, 1932, seš. 1- 4 * The fingerpri... more Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVI, 1932, seš. 1- 4
*
The fingerprint of Proceedings Muzeum Slovak society, Vol. XXVI, 1932, you are. 1-4

Research paper thumbnail of Jan Eisner : Prehistorický výzkum na Slovensku a v Podkarpatské Rusi roku 1932 a 1933 / Prehistoric Research at the Slovak and Carpathian Ruthenia in 1932 and 1933

Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVII-XXVIII, 1933-1934, seš. 1-8 * T... more Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVII-XXVIII, 1933-1934, seš. 1-8
*
The fingerprint of Proceedings museum Slovak society, Vol. XXVII-XXVIII, 1933-1934, you are. 1-8

Papers by Jan Eisner

Research paper thumbnail of Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions

Research paper thumbnail of Hopf bifurcation and ordinary differential inequalities

Czechoslovak Mathematical Journal

Research paper thumbnail of Smooth bifurcation for an obstacle problem

Differential and Integral Equations

The existence of smooth families of solutions bifurcating from the trivial solution for a two-par... more The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force lambda\lambdalambda and supported by a unilateral connected fixed obstacle at the height hhh is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by lambda\lambdalambda and hhh. In particular, the corresponding contact intervals depend smoothly on lambda\lambdalambda and hhh.

Research paper thumbnail of Smooth bifurcation for a Signorini problem on a rectangle

Mathematica Bohemica

We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary con... more We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. We describe smooth branches of smooth nontrivial solutions bifurcating from the trivial solution branch in eigenvalues of the linearized problem. In particular, the contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tools of the proof are first a certain local equivalence of the unilateral BVP to a system consisting of a corresponding classical BVP and of two scalar equations (which determine the ends of the contact intervals), and secondly an application of the classical Crandall-Rabinowitz type local bifurcation techniques (scaling and application of the Implicit Function Theorem) to that system.

Research paper thumbnail of Direction and stability of bifurcation branches for variational inequalities

Journal of Mathematical Analysis and Applications, 2005

We consider a class of variational inequalities with a multidimensional bifurcation parameter und... more We consider a class of variational inequalities with a multidimensional bifurcation parameter under assumptions guaranteeing the existence of smooth families of nontrivial solutions bifurcating from the set of trivial solutions. The direction of bifurcation is shown in a neighborhood of bifurcation points of a certain type. In the case of potential operators, also the stability and instability of bifurcating solutions and of the trivial solution is described in the sense of minima of the potential. In particular, an exchange of stability is observed.

Research paper thumbnail of Bifurcation Direction and Exchange of Stability for an Elliptic Unilateral BVP

More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress, 2009

Research paper thumbnail of Direction and stability of bifurcating solutions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2015

ABSTRACT The equation Δu+λu+g(λ,u)u=0Δu+λu+g(λ,u)u=0 is considered in a bounded domain in R2R2 wi... more ABSTRACT The equation Δu+λu+g(λ,u)u=0Δu+λu+g(λ,u)u=0 is considered in a bounded domain in R2R2 with a Signorini condition on a straight part of the boundary and with mixed boundary conditions on the rest of the boundary. It is assumed that g(λ,0)=0g(λ,0)=0 for λ∈Rλ∈R, λλ is a bifurcation parameter. A given eigenvalue of the linearized equation with the same boundary conditions is considered. A smooth local bifurcation branch of non-trivial solutions emanating at λ0λ0 from trivial solutions is studied. We show that to know a direction of the bifurcating branch it is sufficient to determine the sign of a simple expression involving the corresponding eigenfunction u0u0. In the case when λ0λ0 is the first eigenvalue and the branch goes to the right, we show that the bifurcating solutions are asymptotically stable in W1,2W1,2-norm. The stability of the trivial solution is also studied and an exchange of stability is obtained.

Research paper thumbnail of Spatial Patterns for reaction-diffusion systems with conditions described by inclusions

Research paper thumbnail of Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities

Applied Nonlinear Analysis, 2002

ABSTRACT

Research paper thumbnail of Optimal foraging and predator–prey dynamics III

Theoretical Population Biology, 2003

In the previous two articles ( Theor. Popul. Biol. 49 (1996) 265-290; 55 (1999) 111-126), the pop... more In the previous two articles ( Theor. Popul. Biol. 49 (1996) 265-290; 55 (1999) 111-126), the population dynamics resulting from a two-prey-one-predator system with adaptive predators was studied. In these articles, predators followed the predictions of optimal foraging theory. Analysis of that system was hindered by the incorporation of the logistic description of prey growth. In particular, because prey self-regulation dependence is a strong stabilizing mechanism, the effects of optimal foraging could not be easily separated from the effects of bottom-up control of prey growth on species coexistence. In this article, we analyze two models. The first model assumes the exponential growth of both prey types while the second model assumes the exponential growth of the preferred prey type and the logistic growth of the alternative prey type. This permits the effect of adaptive foraging on two-preypredator food webs to be addressed. We show that optimal foraging reduces apparent competition between the two prey types, promotes species coexistence, and leads to multiple attractors. r

Research paper thumbnail of The effect of the Holling type II functional response on apparent competition

Theoretical Population Biology, 2006

This article analyzes the classical 2-resource-1-consumer apparent competition community module w... more This article analyzes the classical 2-resource-1-consumer apparent competition community module with the Holling type II functional response. Two types of resource regulation (top-down vs. combined top-down and bottom-up) and two types of consumer behaviors (inflexible consumers with fixed preferences for resources vs. adaptive consumers) are considered. When resources grow exponentially and consumers are inflexible foragers, one resource is always outcompeted due to strong apparent competition. Density dependent resource growth relaxes apparent competition so that resources can coexist. As multiple attractors (either equilibria or limit cycles) coexist, population dynamics and community composition depend on initial population densities. Population dynamics change dramatically when consumers forage adaptively. In this case, the results both for top-down, and combined top-down and bottom-up regulation are similar and they show that species persistence occurs for a much larger set of parameter values when compared with inflexible consumers. Moreover, population dynamics will be chaotic when resource carrying capacities are high enough. This shows that adaptive consumer switching can destabilize population dynamics. r

Research paper thumbnail of Critical and bifurcation points of reaction–diffusion systems with conditions given by inclusions

Nonlinear Analysis: Theory, Methods & Applications, 2001

be a bounded domain in R n with a lipschitzian boundary @ , let D U , be open (in @ ) disjoint su... more be a bounded domain in R n with a lipschitzian boundary @ , let D U , be open (in @ ) disjoint subsets of @ , meas(@ \( D ∪ U )) = 0; meas D ¿ 0: (0.1) Let f; g : R 2 → R be di erentiable functions such that f(0; 0)=g(0; 0)=0. (Generally, we can suppose there are positive constants u, v such that f( u; v) = g( u; v) = 0 and require u = u, v = v on D in the boundary conditions (IC) and (CC) below. We can put u = v = 0, without loss of generality, and keep in mind that if u, v represent e.g. concentrations of two species in examples from biology then u, v should be positive.) Let us consider a reaction-di usion system u t = d 1 u + f(u; v); v t = d 2 v + g(u; v) on [0; +∞) × ;

Research paper thumbnail of Les origines des Slaves d'après les préhistoriens tchèques

Revue des études slaves, 1948

Research paper thumbnail of Degree and global bifurcation for elliptic equations with multivalued unilateral conditions

Nonlinear Analysis: Theory, Methods & Applications, 2006

A bifurcation problem for an elliptic multivalued boundary value problem with a real parameter is... more A bifurcation problem for an elliptic multivalued boundary value problem with a real parameter is considered. The existence of global bifurcation between two eigenvalues of a certain type of the Laplacian is proved. For a class of abstract inclusions with compact multivalued mappings in a Hilbert space, it is shown how the degree can be determined near the eigenvalues of a particular type of an associated linear single-valued problem, and the jump of the degree is proved. As a consequence, global bifurcation for such abstract inclusions is obtained. The weak formulation of the boundary value problem mentioned is a particular case. ᭧

Research paper thumbnail of Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets

Nonlinear Analysis: Theory, Methods & Applications, 2007

This paper concerns Crandall-Rabinowitz type bifurcation for abstract variational inequalities on... more This paper concerns Crandall-Rabinowitz type bifurcation for abstract variational inequalities on nonconvex sets and with multidimensional bifurcation parameter. We derive formulae which determine the bifurcation direction and, in the case of potential operators, the stability of all solutions close to the bifurcation point. In particular, it follows that in some cases an exchange of stability appears similar to the case of equations, but in some other cases stable nontrivial solutions bifurcate at points where there is no loss of stability of the trivial solution. As an application we consider a system of two second order ODEs with nonconvex unilateral boundary conditions.

Research paper thumbnail of Smooth dependence on parameters of solutions of variational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2005

Variational inequalities on closed convex sets of a certain type (not cones in general) with a mu... more Variational inequalities on closed convex sets of a certain type (not cones in general) with a multidimensional parameter are considered, and local C k -smooth dependence of their solutions on the parameter is proved. The basic idea is to show that under some assumptions, the variational inequality is in a neighbourhood of a given solution equivalent to an equation for which implicit function theorem can be used. The result is applied to a model of a beam unilaterally supported by a finite number of fixed obstacles at different heights, and to Nash equilibria with parameters.

Research paper thumbnail of Smooth dependence on data of solutions and contact regions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2010

Smooth dependence on data Signorini problem Variational inequality a b s t r a c t

Research paper thumbnail of Smooth bifurcation branches of solutions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2011

ABSTRACT We study a bifurcation problem for the equation Δu+λu+g(λ,u)u=0 on a rectangle with Sign... more ABSTRACT We study a bifurcation problem for the equation Δu+λu+g(λ,u)u=0 on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. Here λ∈R is the bifurcation parameter, and g is a small perturbation. We prove, under certain assumptions concerning an eigenfunction u0 corresponding to an eigenvalue λ0 of the linearized equation with the same nonlinear boundary conditions, the existence of a local smooth branch of nontrivial solutions bifurcating from the trivial solutions at λ0 in the direction of u0. The contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tool of the proof is a local equivalence of the unilateral BVP to a system consisting of a corresponding classical BVP and of two scalar equations. To this system classical Crandall–Rabinowitz type local bifurcation techniques (scaling and Implicit Function Theorem) are applied.

Research paper thumbnail of Jan Eisner : Prehistorický výzkum na Slovensku a v Podkarpatské Rusi roku 1931 / Prehistoric Research at the Slovak and Carpathian Ruthenia in 1931

Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVI, 1932, seš. 1- 4 * The fingerpri... more Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVI, 1932, seš. 1- 4
*
The fingerprint of Proceedings Muzeum Slovak society, Vol. XXVI, 1932, you are. 1-4

Research paper thumbnail of Jan Eisner : Prehistorický výzkum na Slovensku a v Podkarpatské Rusi roku 1932 a 1933 / Prehistoric Research at the Slovak and Carpathian Ruthenia in 1932 and 1933

Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVII-XXVIII, 1933-1934, seš. 1-8 * T... more Odtlačok zo Sborníka Muzeálnej slovenskej spoločnosti, roč. XXVII-XXVIII, 1933-1934, seš. 1-8
*
The fingerprint of Proceedings museum Slovak society, Vol. XXVII-XXVIII, 1933-1934, you are. 1-8

Research paper thumbnail of Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions

Research paper thumbnail of Hopf bifurcation and ordinary differential inequalities

Czechoslovak Mathematical Journal

Research paper thumbnail of Smooth bifurcation for an obstacle problem

Differential and Integral Equations

The existence of smooth families of solutions bifurcating from the trivial solution for a two-par... more The existence of smooth families of solutions bifurcating from the trivial solution for a two-parameter bifurcation problem for a class of variational inequalities is proved. As an example, a model of an elastic beam compressed by a force lambda\lambdalambda and supported by a unilateral connected fixed obstacle at the height hhh is studied. In the language of this example, we show that nontrivial solutions touching the obstacle on connected intervals bifurcate from the trivial solution and form smooth families parametrized by lambda\lambdalambda and hhh. In particular, the corresponding contact intervals depend smoothly on lambda\lambdalambda and hhh.

Research paper thumbnail of Smooth bifurcation for a Signorini problem on a rectangle

Mathematica Bohemica

We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary con... more We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. We describe smooth branches of smooth nontrivial solutions bifurcating from the trivial solution branch in eigenvalues of the linearized problem. In particular, the contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tools of the proof are first a certain local equivalence of the unilateral BVP to a system consisting of a corresponding classical BVP and of two scalar equations (which determine the ends of the contact intervals), and secondly an application of the classical Crandall-Rabinowitz type local bifurcation techniques (scaling and application of the Implicit Function Theorem) to that system.

Research paper thumbnail of Direction and stability of bifurcation branches for variational inequalities

Journal of Mathematical Analysis and Applications, 2005

We consider a class of variational inequalities with a multidimensional bifurcation parameter und... more We consider a class of variational inequalities with a multidimensional bifurcation parameter under assumptions guaranteeing the existence of smooth families of nontrivial solutions bifurcating from the set of trivial solutions. The direction of bifurcation is shown in a neighborhood of bifurcation points of a certain type. In the case of potential operators, also the stability and instability of bifurcating solutions and of the trivial solution is described in the sense of minima of the potential. In particular, an exchange of stability is observed.

Research paper thumbnail of Bifurcation Direction and Exchange of Stability for an Elliptic Unilateral BVP

More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress, 2009

Research paper thumbnail of Direction and stability of bifurcating solutions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2015

ABSTRACT The equation Δu+λu+g(λ,u)u=0Δu+λu+g(λ,u)u=0 is considered in a bounded domain in R2R2 wi... more ABSTRACT The equation Δu+λu+g(λ,u)u=0Δu+λu+g(λ,u)u=0 is considered in a bounded domain in R2R2 with a Signorini condition on a straight part of the boundary and with mixed boundary conditions on the rest of the boundary. It is assumed that g(λ,0)=0g(λ,0)=0 for λ∈Rλ∈R, λλ is a bifurcation parameter. A given eigenvalue of the linearized equation with the same boundary conditions is considered. A smooth local bifurcation branch of non-trivial solutions emanating at λ0λ0 from trivial solutions is studied. We show that to know a direction of the bifurcating branch it is sufficient to determine the sign of a simple expression involving the corresponding eigenfunction u0u0. In the case when λ0λ0 is the first eigenvalue and the branch goes to the right, we show that the bifurcating solutions are asymptotically stable in W1,2W1,2-norm. The stability of the trivial solution is also studied and an exchange of stability is obtained.

Research paper thumbnail of Spatial Patterns for reaction-diffusion systems with conditions described by inclusions

Research paper thumbnail of Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities

Applied Nonlinear Analysis, 2002

ABSTRACT

Research paper thumbnail of Optimal foraging and predator–prey dynamics III

Theoretical Population Biology, 2003

In the previous two articles ( Theor. Popul. Biol. 49 (1996) 265-290; 55 (1999) 111-126), the pop... more In the previous two articles ( Theor. Popul. Biol. 49 (1996) 265-290; 55 (1999) 111-126), the population dynamics resulting from a two-prey-one-predator system with adaptive predators was studied. In these articles, predators followed the predictions of optimal foraging theory. Analysis of that system was hindered by the incorporation of the logistic description of prey growth. In particular, because prey self-regulation dependence is a strong stabilizing mechanism, the effects of optimal foraging could not be easily separated from the effects of bottom-up control of prey growth on species coexistence. In this article, we analyze two models. The first model assumes the exponential growth of both prey types while the second model assumes the exponential growth of the preferred prey type and the logistic growth of the alternative prey type. This permits the effect of adaptive foraging on two-preypredator food webs to be addressed. We show that optimal foraging reduces apparent competition between the two prey types, promotes species coexistence, and leads to multiple attractors. r

Research paper thumbnail of The effect of the Holling type II functional response on apparent competition

Theoretical Population Biology, 2006

This article analyzes the classical 2-resource-1-consumer apparent competition community module w... more This article analyzes the classical 2-resource-1-consumer apparent competition community module with the Holling type II functional response. Two types of resource regulation (top-down vs. combined top-down and bottom-up) and two types of consumer behaviors (inflexible consumers with fixed preferences for resources vs. adaptive consumers) are considered. When resources grow exponentially and consumers are inflexible foragers, one resource is always outcompeted due to strong apparent competition. Density dependent resource growth relaxes apparent competition so that resources can coexist. As multiple attractors (either equilibria or limit cycles) coexist, population dynamics and community composition depend on initial population densities. Population dynamics change dramatically when consumers forage adaptively. In this case, the results both for top-down, and combined top-down and bottom-up regulation are similar and they show that species persistence occurs for a much larger set of parameter values when compared with inflexible consumers. Moreover, population dynamics will be chaotic when resource carrying capacities are high enough. This shows that adaptive consumer switching can destabilize population dynamics. r

Research paper thumbnail of Critical and bifurcation points of reaction–diffusion systems with conditions given by inclusions

Nonlinear Analysis: Theory, Methods & Applications, 2001

be a bounded domain in R n with a lipschitzian boundary @ , let D U , be open (in @ ) disjoint su... more be a bounded domain in R n with a lipschitzian boundary @ , let D U , be open (in @ ) disjoint subsets of @ , meas(@ \( D ∪ U )) = 0; meas D ¿ 0: (0.1) Let f; g : R 2 → R be di erentiable functions such that f(0; 0)=g(0; 0)=0. (Generally, we can suppose there are positive constants u, v such that f( u; v) = g( u; v) = 0 and require u = u, v = v on D in the boundary conditions (IC) and (CC) below. We can put u = v = 0, without loss of generality, and keep in mind that if u, v represent e.g. concentrations of two species in examples from biology then u, v should be positive.) Let us consider a reaction-di usion system u t = d 1 u + f(u; v); v t = d 2 v + g(u; v) on [0; +∞) × ;

Research paper thumbnail of Les origines des Slaves d'après les préhistoriens tchèques

Revue des études slaves, 1948

Research paper thumbnail of Degree and global bifurcation for elliptic equations with multivalued unilateral conditions

Nonlinear Analysis: Theory, Methods & Applications, 2006

A bifurcation problem for an elliptic multivalued boundary value problem with a real parameter is... more A bifurcation problem for an elliptic multivalued boundary value problem with a real parameter is considered. The existence of global bifurcation between two eigenvalues of a certain type of the Laplacian is proved. For a class of abstract inclusions with compact multivalued mappings in a Hilbert space, it is shown how the degree can be determined near the eigenvalues of a particular type of an associated linear single-valued problem, and the jump of the degree is proved. As a consequence, global bifurcation for such abstract inclusions is obtained. The weak formulation of the boundary value problem mentioned is a particular case. ᭧

Research paper thumbnail of Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets

Nonlinear Analysis: Theory, Methods & Applications, 2007

This paper concerns Crandall-Rabinowitz type bifurcation for abstract variational inequalities on... more This paper concerns Crandall-Rabinowitz type bifurcation for abstract variational inequalities on nonconvex sets and with multidimensional bifurcation parameter. We derive formulae which determine the bifurcation direction and, in the case of potential operators, the stability of all solutions close to the bifurcation point. In particular, it follows that in some cases an exchange of stability appears similar to the case of equations, but in some other cases stable nontrivial solutions bifurcate at points where there is no loss of stability of the trivial solution. As an application we consider a system of two second order ODEs with nonconvex unilateral boundary conditions.

Research paper thumbnail of Smooth dependence on parameters of solutions of variational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2005

Variational inequalities on closed convex sets of a certain type (not cones in general) with a mu... more Variational inequalities on closed convex sets of a certain type (not cones in general) with a multidimensional parameter are considered, and local C k -smooth dependence of their solutions on the parameter is proved. The basic idea is to show that under some assumptions, the variational inequality is in a neighbourhood of a given solution equivalent to an equation for which implicit function theorem can be used. The result is applied to a model of a beam unilaterally supported by a finite number of fixed obstacles at different heights, and to Nash equilibria with parameters.

Research paper thumbnail of Smooth dependence on data of solutions and contact regions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2010

Smooth dependence on data Signorini problem Variational inequality a b s t r a c t

Research paper thumbnail of Smooth bifurcation branches of solutions for a Signorini problem

Nonlinear Analysis: Theory, Methods & Applications, 2011

ABSTRACT We study a bifurcation problem for the equation Δu+λu+g(λ,u)u=0 on a rectangle with Sign... more ABSTRACT We study a bifurcation problem for the equation Δu+λu+g(λ,u)u=0 on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. Here λ∈R is the bifurcation parameter, and g is a small perturbation. We prove, under certain assumptions concerning an eigenfunction u0 corresponding to an eigenvalue λ0 of the linearized equation with the same nonlinear boundary conditions, the existence of a local smooth branch of nontrivial solutions bifurcating from the trivial solutions at λ0 in the direction of u0. The contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tool of the proof is a local equivalence of the unilateral BVP to a system consisting of a corresponding classical BVP and of two scalar equations. To this system classical Crandall–Rabinowitz type local bifurcation techniques (scaling and Implicit Function Theorem) are applied.

Research paper thumbnail of Bifurcation points for a reaction–diffusion system with two inequalities

Journal of Mathematical Analysis and Applications, 2010

... Appl. 365 (2010) 176 194 Contents lists available at ScienceDirect Journal of Mathematical An... more ... Appl. 365 (2010) 176 194 Contents lists available at ScienceDirect Journal of Mathematical Analysis and Applications www.elsevier.com/locate/jmaa Bifurcation points for a reaction diffusion system with two inequalities Jan Eisner a , Milan Ku cera b , Martin V th c, ,1 a Institute ...

Research paper thumbnail of Smooth dependence on parameters of solutions and contact regions for an obstacle problem

Journal of Mathematical Analysis and Applications, 2003

We consider a class of variational inequalities which includes a model of a beam compressed by a ... more We consider a class of variational inequalities which includes a model of a beam compressed by a force λ and unilaterally supported by a connected obstacle at the height h. A smooth dependence on parameters λ and h of solutions and intervals of their contact with the obstacle is proved in a neighbourhood of a given solution. The basic idea is to show local equivalence of the inequality with a suitable equation and to apply the implicit function theorem to this equation.

Research paper thumbnail of Jan Eisner: Devínska Nová Ves: Slovanské pohřebiště / Devínska Nová Ves: Slavic burial ground / Devínska Nová Ves: Slawische Grabstätte

Kniha byla vydána roku 1952 v Bratislavě (Nakladateĺstvo Slovenskej akadémie vied a umení) / Das ... more Kniha byla vydána roku 1952 v Bratislavě (Nakladateĺstvo Slovenskej akadémie vied a umení) / Das Buch erschien 1952 in Bratislava (Verlag der Slowakischen Akademie der Wissenschaften und Künste) / The book was published in 1952 in Bratislava (Publishing of the Slovak Academy of Sciences and Arts).

Research paper thumbnail of Jan Eisner : Slovensko v pravěku (Slovakia in prehistory) - Text 1

The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early histori... more The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early historical times, not only Slovak but simultaneously Transcarpathian regions of Ukraine.

Author of John Eisner.

The book is by Czech, German and French

Research paper thumbnail of Jan Eisner : Slovensko v pravěku (Slovakia in prehistory) - Text 2

The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early histori... more The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early historical times, not only Slovak but simultaneously Transcarpathian regions of Ukraine.

Author of John Eisner.

The book is by Czech, German and French.

Research paper thumbnail of Jan Eisner : Slovensko v pravěku (Slovakia in prehistory) - tables

The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early histori... more The basic work of the period of pre-war Czechoslovakia dealing with Prehistoric and early historical times, not only Slovak but simultaneously Transcarpathian regions of Ukraine.

Author of John Eisner.

The book is by Czech, German and French.

Research paper thumbnail of Jan Eisner : Latenské památky na Slovensku a v Podkarpatské Rusi - Monuments La Tene period for Slovak and Ruthenia

J. Eisner from 1930 published in Obzor and dedicated to prehistoric findings from the La Tene. Ca... more J. Eisner from 1930 published in Obzor and dedicated to prehistoric findings from the La Tene. Carpathian Ruthenia, the main emphasis devoted to finds from around Mukachevo.

On the Czech language

Research paper thumbnail of Jan Eisner: The main tasks of archaeological research in Ruthenia

Jan Eisner publication in the journal ,,Obzor prehistoric" 1923 defines the main task for archaeo... more Jan Eisner publication in the journal ,,Obzor prehistoric" 1923 defines the main task for archaeologists Ruthenia.

Research paper thumbnail of Jan Eisner: Spisy o pravěku a ranné době dějinné, které vyšly na Slovensku za války / Writings on prehistoric and early historical periods, Which Were published in the Slovakia During the war.

Publication in the journal Archaeological Monuments. Praehistorická series (1939/1946)

Research paper thumbnail of Jan Eisner : Vývoj předhistorického osídlení země české / Development of a prehistoric settlement in the country Czech

Publication in the journal Czech Historical Magazine for 1914

Research paper thumbnail of Jan Eisner : Bodrogkereszturská kultura na Slovensku / Bodrogkeresztur culture in the Slovak Republic / Die Bodrogkeresztur-Kultur in der Slowakei

Publication in the journal ,,Archaeological Monuments" in 1933.

Research paper thumbnail of Jan Eisner : Hradiště chlumské nad Malší / Settlement Chlum over Malší

Publication of the journal Archaeological Monuments in 1914.

Research paper thumbnail of Jan Eisner : Pohřebiště lužického typu v Srchu u Pardubic / Burial Lusatian culture in the near Srch district Pardubice

Publication of the journal Archaeological Monuments in 1913.

Research paper thumbnail of Jan Eisner : Slované v Uhrách / Slavs in Hungary / Szlávok Magyarországon

Publication of the journal Archaeological Monuments 1927 * A folyóirat Régészeti Műemlékek 1927

Research paper thumbnail of Jan Eisner : O vzniku slovanské esovité zàušnice / The Origin of Slavic S-shaped earrings

The study was published in the journal Światowit: Roczniki poświęcony przeddziejowej archeology a... more The study was published in the journal Światowit: Roczniki poświęcony przeddziejowej archeology and culture badaniom pierwotnej Polskiej and słowiańskiej 1962, Tom 24.

Research paper thumbnail of Jan Eisner : Počátky českého šperku / The beginnings of Bohemia jewelery

Jan Eisner publication in the journal,, Archaeological Monuments' of 1955.

Research paper thumbnail of Jan Eisner : Lubor Niederle

Publication in the journal Archaeological Monuments for 1939 -1946. Released in Prague in 1946.

Research paper thumbnail of Jan Eisner 1885 - 1967

Short medallion and a bibliography of significant Czech archaeologist acting Ruthenia in the prew... more Short medallion and a bibliography of significant Czech archaeologist acting Ruthenia in the prewar period.

Research paper thumbnail of Jan Eisner : Jihočeské mohyly / Tumulus du Sud de la Bohême / Mound South Bohemia

Publication of the journal Archaeological Monuments in 1922.

Research paper thumbnail of Jan Eisner : K třídění keramiky hradištní / A screening pottery fortified settlement

Publication of the journal Archaeological Monuments in 1914.

Research paper thumbnail of Ľudmila Kraskovská : Památky bukovohorské kultury ve sbírkách vlastivědného musea v Bratislavě / Monuments Bükk culture collections Museum of National History in Bratislava / Denkmäler der Biikker Kultur in den Sammlungen des Heimatkundlichen Museums in Bratislava

Publication in the journal ,,Archaeological Monuments " in 1933. * Annotation: The author used th... more Publication in the journal ,,Archaeological Monuments " in 1933.
*
Annotation:
The author used the material in his publication of research prof. Jan Eisner that took place in the years 1924 -1925 in the village Jasová district of Nové Zámky.
*
Autorka použila ve své publikaci materiál z výzkumu prof. Jana Eisnera který uskutečnil v letech 1924 - 1925 u obce Jasová okres Nové Zámky.

Research paper thumbnail of Jan Eisner : Archeologie o kulturní jednotě slovanské / Archaeology of the cultural unity of Slavic / Die Archäologie zur Kultureinheit der Slawen

Publication of the journal Archaeological Monuments in 1961

Research paper thumbnail of Jan Eisner : Filip Jan - Pravěké Československo. Úvod do studia dějin pravěku / Filip Jan - Prehistoric Czechoslovakia. Introduction to the Study of Prehistory

Review of the book of John Philip was published magazine Archaeological Monuments in 1946.

Research paper thumbnail of Jan Eisner : Neustupný, Jiří - Pravěké dějiny Lužice / Prehistory of Lausitz

Review of the book was published the journal ,,Archaeological Monuments" in 1946.

Research paper thumbnail of Jan Eisner : J. Böhm - Naše nejstarší města / Our oldest cities

Review magazine Archaeological Monuments for 1939 -1946. Released in Prague in 1946.

Research paper thumbnail of Jan Eisner : Friedrich, Wilhelm - Die historische Geographie Böhmens bis zum Beginne der deutschen Kolonisation / The historical geography of Bohemia until the beginning of the German colonization / Historická geografie Čech až do začátku německé kolonizace

Review the Czech journal historic year 1913

Research paper thumbnail of Jan Eisner : Buchtela, K. - Niederle, Lubor : Rukověť české archaeologie / Handbook Czech archaeologie

Review the Czech historical journal for 1911 Note : Please let us point out that the actual auth... more Review the Czech historical journal for 1911

Note :
Please let us point out that the actual authors of the book can be found here
//www.academia.edu/15795746/

Research paper thumbnail of Jan Eisner (- J.E. -) : Inocenc Ladislav Červinka : Morava za pravěku - Kniha 4 Kultura popelnicových polí na Moravě / Innocent Ladislav Červinka: Moravia for prehistory - book 4 : Urnfield culture in Moravia

Review the Czech historical journal for 1911. * Note : Please let us point out that Professor Joh... more Review the Czech historical journal for 1911.
*
Note :
Please let us point out that Professor John Eisner used the cipher ,, -J.E.-"

Research paper thumbnail of Jan Eisner: Devínska Nová Ves (referát) / Devínska Nová Ves (paper)

Studie byla publikována v časopise ,,Slovenská archeologie" v roce 1955. / The study was publishe... more Studie byla publikována v časopise ,,Slovenská archeologie" v roce 1955. / The study was published in the journal ,,Slovak archeology" in 1955.

Research paper thumbnail of Jan Eisner: Výzkum na hradišti Děvíně u Bratislavy / Research on the fort Děvín at Bratislava

Zpráva byla publikována v roce 1937 v časopise ,,Zprávy památkové péče" / The report was publishe... more Zpráva byla publikována v roce 1937 v časopise ,,Zprávy památkové péče" / The report was published in 1937 in the journal ,,Messages heritage preservation".

Research paper thumbnail of Vilém Hrubý: Staré Město, Velkomoravské pohřebiště ,,Na valách" / Staré Město, Moravian burial place ,,Na Valách"

Kniha vyšla v Praze roku 1955 / The book was published in Prague in 1955 ***** Annotation The ... more Kniha vyšla v Praze roku 1955 / The book was published in Prague in 1955
*****

Annotation

The dossier includes the words of academician Jan Eisner, the great books that will rob the monuments from the time of the fortress.

For the historical significance of sites and monuments to the wealth of his work is intended not only throughout the Slavic public, but historians of other nations.

The first part contains Analyse finding objects and objects and object under examination as a whole. Detailed description, supported by numerous image attachments, introduces staroslovanským burial ground, burial rites, distribution of charity in their graves. Based on their findings, the author reconstructs the extensive chapter material culture of Great Moravia (economic and domestic utensils, containers, equipment, components, equipment and clothing, jewelry and other objects).

A large part of the second is a detailed and comprehensive description of arecheologických sources.