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论文类型：期刊论文

发表时间：2012-06-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：13

期号：3

页面范围：1093-1101

ISSN号：1468-1218

关键字：Schrodinger-Poisson system; Mountain pass theorem; Fountain theorem; Variational methods

摘要：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