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Type: Artigo de periódico
Title: Radial solutions of an elliptic equation with singular nonlinearity
Author: Davila, J
Montenegro, M
Abstract: For the equation -Delta u + u(-beta) = u(p), u > 0 in B(R), u = 0 on partial derivative B(R), where B(R) subset of R(N), 0 < beta < 1 and 1 < p < N+2/N-2 if N >= 3, 1 < p < +infinity if N = 2, we show that there is (R) over bar > 0 such that a radial solution u(R) exists if and only if 0 < R <= <(R)over bar>. It is unique in the class of radial solutions and u(R)' (R) < 0 if R < (R) over bar, while u((R) over bar)'((R) over bar) = 0. We also give a variational characterization of u((R) over bar). (C) 2008 Elsevier Inc. All rights reserved.
Subject: Radial solutions
Singular nonlinearity
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. 360, n. 379, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2008.05.033
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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