Infinitely Many Sign-Changing Solutions for the Nonlinear Schrodinger-Poisson System with Super 2-linear Growth at Infinity

被引：1
|
作者：
Wang, Shuai [1 ]
Wu, Xing-Ping [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Poisson system; Sign-changing solutions; Super; 2-linear; Invariant sets of descending flow; NODAL SOLUTIONS; EXISTENCE; EQUATIONS; STATES;
D O I：
10.1007/s12346-023-00757-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the sign-changing solutions to the following Schrodinger-Poisson system{-delta u + V(x)u + lambda phi(x)u = f (u), x is an element of R-3, -delta Phi = u(2 ) x is an element of R-3,where lambda > 0 is a parameter and f is super 2-linear at infinity. By using the method of invariant sets of descending flow and a multiple critical points theorem, we prove that this system possesses infinitely many sign-changing solutions for any lambda > 0.
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