On the persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on the domain
type: Item
instance of: scholarly article
title: On the persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on the domain
zbMATH Open document ID: 0840.35070
author: Daniela Lupo
author: Anna Maria Micheletti
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-04T00:00:00Z
review text: The authors consider an elliptic eigenvalue problem \[ Lu= \lambda u\quad\text{in} \quad \Omega,\quad u= 0\quad\text{on} \quad\partial\Omega \] and assume that for a given domain \(\Omega\) it admits an eigenvalue of multiplicity 2. They then study under which conditions a domain perturbation preserves the multiplicity 2; however there is no description of the geometry of the domain for which their results hold.
reviewed by: René Sperb
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 811217
zbMATH Keywords: domain perturbation
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1280
OpenAlex ID: W1975231582
DOI: 10.1006/JMAA.1995.1280
description: scientific article; zbMATH DE number 811217