Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-06-01

Journal: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals: Scopus、EI、SCIE

Volume: 13

Issue: 3

Page Number: 1093-1101

ISSN: 1468-1218

Key Words: Schrodinger-Poisson system; Mountain pass theorem; Fountain theorem; Variational methods

Summary: In this paper, we study the existence and multiplicity results for the nonlinear Schrodinger-Poisson systems
   {-Delta u + V(x)u K(x)phi(x)u = f(x, u), in R-3
   -Delta phi = K (x)u(2), in R-3. (*)
   Under certain assumptions on V. K and f, we obtain at least one nontrivial solution for (*) without assuming the Ambrosetti and Rabinowitz condition by using the mountain pass theorem, and obtain infinitely many high energy solutions when f (x,.) is odd by using the fountain theorem. (C) 2011 Published by Elsevier Ltd