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Type: Artigo de periódico
Title: Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials
Author: Ferreira, LCF
Montenegro, M
Abstract: We study the equation Delta u + u vertical bar u vertical bar(P-1) + V(x)u + (x) = 0 in R(n), where n >= 3 and p > n/(n - 2). The forcing term f and the potential V can be singular at zero, change sign and decay polynomially at infinity. We can consider anisotropic potentials of form h(x)vertical bar x vertical bar(-2) where h is not purely angular. We obtain solutions u which blow up at the origin and do not belong to any Lebesgue space L(r). Also, u is positive and radial, in case f and V are. Asymptotic stability properties of solutions, their behavior near the singularity, and decay are addressed. (c) 2010 Published by Elsevier Inc.
Subject: Existence
Anisotropic potentials
Singular solutions
Homogeneous spaces
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Differential Equations. Academic Press Inc Elsevier Science, v. 250, n. 4, n. 2045, n. 2063, 2011.
Rights: fechado
Identifier DOI: 10.1016/j.jde.2010.12.009
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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