Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 246, Issue 3, Pages 1288-1311Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2008.08.004
Keywords
Variational methods; Critical growth; Quasilinear equations
Categories
Funding
- FAPESP [2007/03399-0]
- CNPQ [472281/2006-2, 620025/2006-9]
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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.
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