On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in R-N

Autor(es)

Alves, Claudianor O. ^[1] ; Figueiredo, Giovany M. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58109970 Campina Grande, PB - Brazil

^[2] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 246, n. 3, p. 1288-1311, FEB 1 2009.
• Citações Web of Science: 73

Resumo

In this work we study the existence, multiplicity and concentration of positive solutions for the following class of quasilinear problems -epsilon(N)Delta(N)u + V(X)vertical bar u vertical bar(N-2)u = f(u) in R(N), u (x) > 0. for all x is an element of R(N), where Delta(N)u is the N-Laplacian operator, epsilon is a positive parameter. N >= 2, V : R(N) -> R is a continuous function and f: R -> R is a C(1) function having critical exponential growth. (C) 2008 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 07/03399-0 - Claudianor Oliveira Alves | Centro de Ciências e Tecnologia/UFCG - Brasil
• Beneficiário: Sergio Henrique Monari Soares
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil