Eigenvalues of the Laplacian on forms (original) (raw)

Eigenvalue estimates for the -Laplace operator on manifolds

Newton Luis Santos

Nonlinear Analysis: Theory, Methods & Applications, 2010

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A note on eigenvalue bounds for non‐compact manifolds

Norbert Peyerimhoff

Mathematische Nachrichten, 2021

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Eigenvalues Estimates for the p-Laplace Operator on Manifolds

Newton Luis Santos

2008

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Some Eigenvalues Estimate for the ϕ -Laplace Operator on Slant Submanifolds of Sasakian Space Forms

Abimbola Abolarinwa

Journal of Function Spaces, 2021

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About Bounds for Eigenvalues of the Laplacian with Density

Aissatou Thioro Dia Ndiaye

Symmetry, Integrability and Geometry: Methods and Applications, 2020

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Eigenvalue estimates for a class of elliptic differential operators on compact manifolds

Hilário Alencar, Detang Zhou

Bulletin of the Brazilian Mathematical Society, New Series, 2015

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Boundedness of the first eigenvalue of the 𝑝-Laplacian

Ana Matei

Proceedings of the American Mathematical Society, 2005

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Lower bound estimates for the first eigenvalue of the Laplacian on complete submanifolds

Fernando Manfio

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Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

Cleon S Barroso

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Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds

Evans Harrell

Transactions of the American Mathematical Society, 2008

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The spectral bound and principal eigenvalues of Schrödinger operators on Riemannian manifolds

Elmaati Ouhabaz

Duke Mathematical Journal, 2001

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Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary

Luca Sabatini

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature

Jun Ling

International Journal of Mathematics, 2006

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Uniform Bounds for Eigenfunctions of the Laplacian on Manifolds with Boundary*

Daniel Grieser

Communications in Partial Differential Equations, 2002

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On the L2L^2L2 form spectrum of the Laplacian on nonnegatively curved manifolds

Marco Rigoli

Tohoku Mathematical Journal, 2001

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Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds

Shahroud Azami

2019

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On the second eigenvalue of the Laplace operator penalized by curvature

Evans Harrell

Differential Geometry and its Applications, 1996

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Sharp local upper bound of the first non-zero Neumann eigenvalue in Riemannian manifolds

Mouhamed Moustapha Fall

2011

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Laplacian eigenvalue functionals and metric deformations on compact manifolds

Said Ilias

Journal of Geometry and Physics, 2008

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Analytic and geometric aspects of Laplace operator on Riemannian manifold

B.Surender Reddy

Malaya Journal of Matematik

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Estimates for functions of the Laplacian on manifolds with bounded geometry

Giancarlo Mauceri

2008

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Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvature

Jun Ling

2004

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On an analogue of the Rozenblum-Lieb-Cwikel inequality for the biharmonic operator on a Riemannian manifold

Daniel Levin

Mathematical Research Letters, 1997

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Isoperimetric inequalities for eigenvalues of the Laplacian

Rafael Benguria

Contemporary Mathematics, 2011

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Eigenvalue estimates for submanifolds with locally bounded mean curvature

Jose Montenegro

2002

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Eigenvalues of the Laplacian and curvature

K.-D. Semmler

Colloquium Mathematicum

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Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature

Dominique Bakry, Zhongmin Qian

Advances in Mathematics, 2000

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Asymptotic Estimates for the Principal Eigenvalue of the Laplacian In a Geodesic Ball

Federico Marchetti

Applied Mathematics and Optimization, 1983

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Laplacian on Riemannian Manifolds

Mustafa Türköz, Armagan Demir

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Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Norbert Peyerimhoff

Communications in Analysis and Geometry, 2021

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Some Universal Estimates on Eigenvalues of orientable Riemannian Surfaces

Marc Troyanov

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Isoperimetric bounds for Wentzel-Laplace eigenvalues on Riemannian manifolds

Aissatou Thioro Dia Ndiaye

Cornell University - arXiv, 2020

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The first eigenvalue of the Laplacian on manifolds of nonnegative curvature

Edgar Feldman

Proceedings of Symposia in Pure Mathematics, 1975

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Boundary value estimates for harmonic forms

Chad Scott, T. Iwaniec

Proceedings of the American Mathematical Society, 1996

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Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature

Jesse Ratzkin

Indiana University Mathematics Journal, 2016

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