Existence and multiplicity results for the nonlinear Schrodinger-Poisson systems

被引：36

作者：

Yang, Ming-Hai ^{[1
]}

Han, Zhi-Qing ^{[2
]}

机构：

[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Schrodinger-Poisson system; Mountain pass theorem; Fountain theorem; Variational methods; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; BOUND-STATES; EQUATIONS; MAXWELL; THEOREMS;

D O I：

10.1016/j.nonrwa.2011.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

引用

页码：1093 / 1101

页数：9

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