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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.)

MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS

Author(s):
Alves, Claudianor O. [1] ; Soares, Sergio H. M. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58109970 Campina Grande, PB - Brazil
[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Advances in Differential Equations; v. 15, n. 11-12, p. 1083-1102, NOV-DEC 2010.
Web of Science Citations: 5
Abstract

This paper proves the multiplicity of positive solutions for the following class of quasilinear problems: [-epsilon(p)Delta(p)u+(lambda A(x) + 1)vertical bar u vertical bar(p-2)u = f(u), R(N) u(x)>0 in R(N), where Delta(p) is the p-Laplacian operator, N > p >= 2, lambda and epsilon are positive parameters, A is a nonnegative continuous function and f is a continuous function with subcritical growth. Here, we use variational methods to get multiplicity of positive solutions involving the Lusternick-Schnirelman category of intA(-1)(0) for all sufficiently large lambda and small epsilon. (AU)