The eigenvalues of the Laplacian with Dirichlet boundary condition in \(\mathbb {R}^2\) are almost never minimized by disks
type: Item
instance of: scholarly article
title: The eigenvalues of the Laplacian with Dirichlet boundary condition in \(\mathbb {R}^2\) are almost never minimized by disks
zbMATH Open document ID: 1346.35133
author: Amandine Berger
published in: Annals of Global Analysis and Geometry
publication date: 2015-03-23T00:00:00Z
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 49R05
zbMATH DE Number: 6418172
zbMATH Keywords: eigenvalues
zbMATH Keywords: Laplacian
zbMATH Keywords: Dirichlet
zbMATH Keywords: minimization
zbMATH Keywords: disks
MaRDI profile type: Publication
full work available at URL: s10455-014-9446-9
OpenAlex ID: W1986345804
cites work: Q5558293
cites work: Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
cites work: Optimal spectral rectangles and lattice ellipses
cites work: Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian
cites work: An existence result for a class of shape optimization problems
cites work: Q3308603
cites work: Q5481205
cites work: Minimization of the third eigenvalue of the Dirichlet Laplacian
cites work: Perturbation theory for linear operators.
cites work: Existence of minimizers for spectral problems
cites work: Q5642974
cites work: Perturbation des transformations autoadjointes dans l'espace de Hilbert
cites work: Numerical minimization of eigenmodes of a membrane with respect to the domain
cites work: Range of the first two eigenvalues of the laplacian
DOI: 10.1007/S10455-014-9446-9
description: scientific article; zbMATH DE number 6418172