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Type: Artigo de periódico
Title: Multiplicity of positive solutions for a class of elliptic equations in divergence form
Author: Figueiredo, GM
Furtado, MF
Abstract: We prove results concerning the existence and multiplicity of positive solutions for the quasilinear equation -div (a(epsilon x)vertical bar del u vertical bar(p-2)del u) + vertical bar u vertical bar(p-2)u = f(u) in R-N. u is an element of W-l,W-p (R-N), where 2 <= p < N, a is a positive potential and f is a superlinear function. We relate the number of solutions with the topology of the set where a attains its minimum. The results are proved by using minimax theorems and Ljusternik-Schnirelmann theory. (c) 2005 Elsevier Inc. All rights reserved.
Subject: positive solutions
Ljusternik-Schnirelmann theory
quasilinear problems
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2005.08.084
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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