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Type: Artigo de periódico
Title: Positive solutions to a singular Neumann problem
Author: Alves, CO
Montenegro, M
Abstract: We show the existence of positive solution for the following class of singular Neumann problem -Delta u + a(x)/u(beta) = lambda h(x)u(p) in B(R) with partial derivative u/partial derivative v = 0 on partial derivative B(R), where R > 0, lambda > 0 is a positive parameter, beta > 0, p is an element of vertical bar 0, 1), B(R) = B(R)(0) subset of R(N), a: B(R) -> R and h : B(R) -> R are radially symmetric nonnegative C(1) functions. Using variational methods and sub- and supersolutions, we obtain a solution for an approximated problem involving mixed boundary conditions. The limit of the approximated solutions, is a positive solution. (C) 2008 Elsevier Inc. All rights reserved.
Subject: Positive solution
Variational method
Neumann conditions
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 352, n. 1, n. 112, n. 119, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2008.02.026
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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