Multiple solutions for a nonlinear Schrodinger-Poisson system with sign-changing potential

被引：13
|
作者：
Liu, Hongliang [1 ]
Chen, Haibo [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 07期
关键词：
Schrodinger-Poisson system; Critical groups; Morse theory; Variational methods; GROUND-STATE SOLUTIONS; MAXWELL EQUATIONS; POSITIVE SOLUTIONS; SEMICLASSICAL SOLUTIONS; ELLIPTIC PROBLEMS; CRITICAL EXPONENT; ENERGY SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.camwa.2016.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the existence and multiplicity of nontrivial solutions for a nonlinear Schrodinger-Poisson system. Under some suitable conditions, some criteria on the existence of nontrivial solutions, including a ground state solution, two solutions and a sequence of nontrivial solutions {u(k)} with parallel to u(k)parallel to -> 0 as k -> +infinity, is established by applying the Morse theory and variational methods. Some known results in the literatures are extended and improved. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1405 / 1416
页数：12
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