On the multiplicity of the second eigenvalue of Laplacian in \(\mathbb{R}^ 2\)
type: Item
instance of: scholarly article
title: On the multiplicity of the second eigenvalue of Laplacian in \(\mathbb{R}^ 2\)
zbMATH Open document ID: 0849.35086
published in: Communications in Analysis and Geometry
publication date: 1996-05-09T00:00:00Z
review text: Let \(\Omega\) be a bounded domain of \(\mathbb{R}^2\) with boundary that can be parametrized as a smooth function. Then the multiplicity of the second eigenvalue of \(\Delta\varphi+ \lambda\varphi= 0\) in \(\Omega\), \(\varphi= 0\) on \(\partial \Omega\) is at most two.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 856917
zbMATH Keywords: multiplicity of the second eigenvalue
author: Liqun Zhang
reviewed by: Gianfranco Bottaro
MaRDI profile type: Publication
full work available at URL: cag.1995.v3.n2.a3
OpenAlex ID: W2702187932
DOI: 10.4310/CAG.1995.V3.N2.A3
description: scientific article; zbMATH DE number 856917