A Reilly inequality for the first Steklov eigenvalue
type: Item
instance of: scholarly article
title: A Reilly inequality for the first Steklov eigenvalue
zbMATH Open document ID: 1222.35131
author: Ola Makhoul
author: Said Ilias
published in: Differential Geometry and its Applications
publication date: 2011-10-12T00:00:00Z
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 58J30
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 5957606
zbMATH Keywords: first eigenvalue
zbMATH Keywords: Laplacian
zbMATH Keywords: Steklov
zbMATH Keywords: \(r\)-th mean curvature
zbMATH Keywords: Hsiung-Minkowski formulas
zbMATH Keywords: Reilly inequality
Wikidata QID: Q115356801
MaRDI profile type: Publication
full work available at URL: j.difgeo.2011.07.005
OpenAlex ID: W2053519960
cites work: Über das Stekloffsche Eigenwertproblem: Isoperimetrische Ungleichungen für symmetrische Gebiete
cites work: Q3876353
cites work: An isoperimetric inequality for eigenvalues of the Stekloff problem
cites work: Sums of reciprocal Stekloff eigenvalues
cites work: An inequality of ``Reilly''-type for submanifolds of the hyperbolic space
cites work: Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
cites work: Second eigenvalue of Schrödinger operators and mean curvature
cites work: Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds
cites work: An inequality for Steklov eigenvalues for planar domains
cites work: An isoperimetric inequality and the first Steklov eigenvalue
cites work: A comparison theorem for the first non-zero Steklov eigenvalue
cites work: The geometry of the first non-zero Stekloff eigenvalue
cites work: The first Steklov eigenvalue, conformal geometry, and minimal surfaces
cites work: Upper bounds for the first eigenvalue of the Laplacian on compact submanifolds.
cites work: Estimations extrinsèques de la première valeur propre d'opérateurs elliptiques définis sur des sous-variétés et applications
cites work: Extrinsic upper bound for the first eigenvalue of elliptic operators
cites work: On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
cites work: Some isoperimetric inequalities with application to the Stekloff problem
cites work: Extrinsic upper bounds for \(\lambda _ 1\)
cites work: Extreme principles and isoperimetric inequalities for some mixed problems of Stekloff's type
cites work: Some inequalities for Stekloff eigenvalues
cites work: Some integral formulas for closed hypersurfaces
cites work: Inequalities for membrane and Stekloff eigenvalues
cites work: A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
cites work: New isoperimetric inequalities for eigenvalues and other physical quantities
cites work: Q3213816
cites work: On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
cites work: Asymptotic Behavior of Stekloff Eigenvalues and Eigenfunctions
cites work: Minimal immersions of Riemannian manifolds
cites work: Q5828240
DOI: 10.1016/J.DIFGEO.2011.07.005
description: scientific article; zbMATH DE number 5957606