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Type: Artigo de periódico
Title: Multiple solutions for a class of quasilinear problems
Author: de Paiva, FO
Abstract: In this paper we establish the existence of positive and multiple solutions for the quasilinear elliptic problem -Delta(p)u = g(x, u) in Omega u = 0 on partial derivative Omega, where Omega subset of R-N is an open bounded domain with smooth boundary partial derivative Omega, g:Omega x R -> R is a Caratheodory function such that g(x, 0) = 0 and which is asymptotically linear. We suppose that g(x, t)/t tends to an L-r-function, r > N/p if 1 < p <= N and r = 1 if p > N, which can change sign. We consider both the resonant and the nonresonant cases.
Subject: quasilinear problems
indefinite weight
multiplicity of solutions
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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