On conformal, harmonic mappings and Dirichlet’s integral (original) (raw)

The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings

Miodrag Mateljevic

Filomat, 2015

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Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball

Miodrag Mateljevic

Journal of Mathematical Inequalities

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A converse to the Schwarz lemma for planar harmonic maps

Kristian Seip

Journal of Mathematical Analysis and Applications, 2021

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Harmonic mappings related to functions with bounded boundary rotation and norm of the pre-Schwarzian derivative

Stanislawa Kanas

Bulletin of the Korean Mathematical Society

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Charatheodory and Smirnov type theorem for harmonic mappings

Miodrag Mateljevic

2011

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Coefficient Estimates and Bloch’s Constant in Some Classes of Harmonic Mappings

Stanislawa Kanas

Bulletin of the Malaysian Mathematical Sciences Society

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A new version of the main inequality and the uniqueness of harmonic maps

Miodrag Mateljevic

Journal d'Analyse Mathématique, 1999

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The spherical metric and univalent harmonic mappings

Yusuf Abu Muhanna

Monatshefte für Mathematik, 2018

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Radius of injectivety for harmonic mappings with fixed analytic part

Jugal Prajapat

Cornell University - arXiv, 2021

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Coefficient estimates and Bloch's constant in some class of harmonic mappings

Stanislawa Kanas

The Bulletin of the Malaysian Mathematical Society Series 2

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The Inner Mapping Radius of Harmonic Mappings of the Unit Disk1

Michael Dor

2000

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Certain geometric properties of close-to-convex harmonic mappings

Jugal Prajapat

arXiv: Complex Variables, 2019

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Properties of Some Classes of Planar Harmonic and Planar Biharmonic Mappings

Saminathan Ponnusamy

Complex Analysis and Operator Theory, 2011

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Estimates of partial derivatives for harmonic functions on the unit disc

Miodrag Mateljevic

arXiv (Cornell University), 2023

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Landau’s theorem for planar harmonic mappings

Maria Nowak

Computers & Mathematics with Applications, 2009

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Dirichlets principle, distortion and related problems for harmonic mappings

Miodrag Mateljevic

Publications De L'institut Mathematique, 2004

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Inner estimate and quasiconformal harmonic maps between smooth domains

Miodrag Mateljevic

Journal d'Analyse Mathématique, 2006

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Dirichlet Problem, Univalency and Schwarz Lemma for Biharmonic Mappings

Yusuf Abu Muhanna

Mediterranean Journal of Mathematics, 2018

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Schwarz lemma for hyperbolic harmonic mappings in the unit ball

Jiaolong Chen

2020

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On absolutely conformal mappings

Miodrag Mateljevic

Publicationes Mathematicae Debrecen, 2010

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Schwarz Lemma, and Distortion for Harmonic Functions Via Length and Area

Miodrag Mateljevic

Potential Analysis, 2020

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Carathéodory and Smirnov type theorems for harmonic mappings of the unit disk onto surfaces

Miodrag Mateljevic

Annales Academiae Scientiarum Fennicae Mathematica, 2013

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The Schwarzian derivative for harmonic mappings

Brad Osgood

Journal d'Analyse Mathématique, 2003

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Harmonic mappings of bounded boundary rotation

Abdallah Lyzzaik

Proceedings of the American Mathematical Society, 2017

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Uniqueness of harmonic mappings and of solutions of elliptic equations on Riemannian manifolds

Willi Jäger

Mathematische Annalen, 1979

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A note on the harmonic quasiconformal diffeomorphisms of the unit disc

Miljan Knezevic

Filomat, 2015

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Bounds for Jacobian of harmonic injective mappings in n-dimensional space

Miodrag Mateljevic

Filomat, 2015

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Coefficient estimates and Landau-Bloch’s constant for planar harmonic mappings

Saminathan Ponnusamy

2011

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Dirichlet's boundary value problem for harmonic mappings of Riemannian manifolds

Kjell-Ove Widman

Mathematische Zeitschrift, 1976

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Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings

Saminathan Ponnusamy

arXiv preprint arXiv:1209.5162, 2012

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Complex Variables and Elliptic Equations: An International Journal Univalence and convexity in one direction of the convolution of harmonic mappings

Farewell s

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A note on convexity of convolutions of harmonic mappings

Antti Rasila

Bulletin of the Korean Mathematical Society

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On a subclass of close-to-convex harmonic mappings

Jugal Kishore Prajapat

Complex Variables and Elliptic Equations, 2016

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On Lipschitz continuity of harmonic quasiregular maps on the unit ball in Rn

Miodrag Mateljevic

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And Harmonic Functions in the Unit Disk

Yaakov Ben Natan

1995

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