MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS

Autor(es)

Alves, Claudianor O. ^[1] ; Soares, Sergio H. M. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Advances in Differential Equations; v. 15, n. 11-12, p. 1083-1102, NOV-DEC 2010.
• Citações Web of Science: 5

Resumo

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)

• 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