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Type: Artigo de periódico
Title: Existence and nonexistence of solutions for quasilinear elliptic equations
Author: Montenegro, M
Montenegro, M
Abstract: In this paper we study the problem -Delta(p)u = f(x, u, del u) in Omega u = 0 on partial derivative Omega, where Omega subset of R-N is a smooth bounded domain, N greater than or equal to 2, and Delta(p)u = div(\del u\(p-2) del u) defines the p-Laplacian. We provide some necessary and sufficient conditions on f under which the problem admits a weak solution. For the case p = 2 we obtain more general conditions on f. The main ingredients are degree theory and the super-subsolution method. (C) 2000 Academic Press.
Subject: elliptic
critical growth in the gradient
existence and nonexistence of solution
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 245, n. 2, n. 303, n. 316, 2000.
Rights: fechado
Identifier DOI: 10.1006/jmaa.1999.6697
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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