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
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页码：1093 / 1101
页数：9
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