Least energy sign-changing solutions for Schrodinger-Poisson systems with potential well

被引:1
|
作者
Chen, Xiao-Ping [1 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金;
关键词
Schrodinger-Poisson system; sign-changing solutions; variational methods; GROUND-STATE SOLUTIONS; EXISTENCE; EQUATION;
D O I
10.1515/ans-2022-0021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we investigate the existence of least energy sign-changing solutions for the following Schrodinger-Poisson system {-Delta u + V(x)u + K(x)phi u = f(u), x is an element of R-3, -Delta phi = K(x)u(2), x is an element of R-3, where the functions V(x), K(x) have finite limits as vertical bar x vertical bar -> infinity satisfying some mild assumptions. By combining variational methods with the global compactness lemma, we obtain a least energy sign-changing solution with exactly two nodal domains, and its energy is strictly larger than twice that of least energy solutions.
引用
收藏
页码:390 / 415
页数:26
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