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Indexed by:期刊论文

Date of Publication:2012-06-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:13

Issue:3

Page Number:1093-1101

ISSN No.:1468-1218

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

Abstract: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