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Type: Artigo de periódico
Title: Existence and regularity to an elliptic equation with logarithmic nonlinearity
Author: Montenegro, M
de Queiroz, OS
Abstract: We study the nonlinear elliptic problem -Delta u = X({u>0})(log u + lambda f (x,u)) in Omega subset of R(n) with u = 0 on partial derivative Omega. The function f : Omega x [0, infinity) -> [0,infinity) is nondecreasing, sublinear and f(u) is continuous. For every lambda > 0, we obtain a maximal solution u(lambda) >= 0 and prove its global regularity C(1.gamma) ((Omega) over bar). There is a constant lambda* such that u(lambda) vanishes on a set of positive measure for 0 < lambda <*, and u(lambda) > 0 for lambda >lambda*. If f is concave, for), lambda > lambda* we characterize u(lambda) by its stability. (C) 2008 Elsevier Inc. All rights reserved.
Subject: Regularity
Singular problem
Elliptic equation
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Differential Equations. Academic Press Inc Elsevier Science, v. 246, n. 2, n. 482, n. 511, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.jde.2008.06.035
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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