Revisit to sign-changing solutions for the nonlinear Schrodinger-Poisson system in R3

被引:36
作者
Liang, Zhanping [1 ]
Xu, Jing [1 ]
Zhu, Xiaoli [1 ]
机构
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Schrodinger-Poisson system; Sign-changing solution; Zero mass; ZERO MASS; POSITIVE SOLUTIONS; MAXWELL EQUATIONS; EXISTENCE; INFINITY;
D O I
10.1016/j.jmaa.2015.10.076
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the existence of solutions for the nonlinear Schrodinger-Poisson system with zero mass By introducing some new ideas, we prove, via the constraint variational method and the quantitative deformation lemma, that the system has a sign-changing solution. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:783 / 799
页数:17
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