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

Alves, Claudianor O.; Figueiredo, Giovany M.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Alves, Claudianor O. ^[1] ; Figueiredo, Giovany M. ^[2] Total Authors: 2
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Differential Equations; v. 246, n. 3, p. 1288-1311, FEB 1 2009.
Web of Science Citations:	73
Abstract
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)

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