Some isoperimetric problems for the principal eigenvalues of second-order elliptic operators in divergence form
type: Item
instance of: scholarly article
title: Some isoperimetric problems for the principal eigenvalues of second-order elliptic operators in divergence form
zbMATH Open document ID: 1121.35090
author: François Hamel
author: Nikolai Nadirashvili
author: Emmanuel Russ
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2007-02-26T00:00:00Z
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 49R50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5129804
zbMATH Keywords: principal eigenvalue
zbMATH Keywords: Laplacian
zbMATH Keywords: rearrangement
zbMATH Keywords: symmetrization
zbMATH Keywords: optimization
zbMATH Keywords: second-order elliptic operators in divergence form with Dirichlet boundary condition
MaRDI profile type: Publication
full work available at URL: j.crma.2006.11.025
OpenAlex ID: W2080024808
cites work: Comparison results for solutions of elliptic problems via symmetrization
cites work: The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
cites work: An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift
cites work: Rearrangement inequalities and applications to isoperimetric problems for eigenvalues
cites work: Q5838364
cites work: Q3737845
DOI: 10.1016/J.CRMA.2006.11.025
Recommended article: Isoperimetric properties of higher eigenvalues of elliptic operators
Recommended article: An isoperimetric inequality for the principal eigenvalue of a periodic-parabolic problem
Recommended article: Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems
Recommended article: Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds
Recommended article: Some remarks on the principal eigenvalue of a second order elliptic operator
Recommended article: Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space
Recommended article: Q5262357
Recommended article: The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
Recommended article: Q3023380
Recommended article: The principal eigenvalue and maximum principle for second order elliptic operators on Riemannian manifolds
description: scientific article; zbMATH DE number 5129804