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Type: Artigo de periódico
Title: A note on the number of nodal solutions of an elliptic equation with symmetry
Author: Furtado, MR
Abstract: We consider the semilinear problem -Delta u+lambda u=vertical bar u vertical bar(p-2)u in Omega, u=0 on partial derivative Omega, where Omega subset of R-N is a bounded smooth domain and 2<p<2*=2N/(N-2). We show that if Omega is invariant under a nontrivial orthogonal involution then, for lambda>0 sufficiently large, the equivariant topology of Omega is related to the number of solutions which change sign exactly once. (C) 2005 Elsevier Ltd. All rights reserved.
Subject: nodal solutions
equivariant category
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.aml.2005.04.013
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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