Multiple solutions of nonlinear elliptic Dirichlet problems in exterior domains
type: Item
instance of: scholarly article
title: Multiple solutions of nonlinear elliptic Dirichlet problems in exterior domains
zbMATH Open document ID: 0939.35071
DOI: 10.1016/S0362-546X(98)00214-4
author: Riccardo Molle
author: Donato Passaseo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-06-26T00:00:00Z
review text: The authors consider the Dirichlet problem for the equation \(-\Delta u + \lambda^2u=u^{p-1}\) in an exterior domain \(\Omega\), with a subcritical \(p\). It is shown that there exist at least \(2k-1\) distinct positive solutions, provided the complement of \(\Omega\) consists of \(k\) sufficiently large connected components.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1389520
zbMATH Keywords: nonlinear elliptic Dirichlet problems
zbMATH Keywords: exterior domains
zbMATH Keywords: multiple positive solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1389520