Sign-Changing Solutions for Schrodinger-Poisson System with Local Nonlinearity

被引：0
作者：
Ye, Bo [1 ]
机构：
[1] Chongqing Elect Informat Coll, Fac Artificial Intelligence & Elect, Chongqing 400900, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 01期
关键词：
Schrodinger-Poisson system; sign-changing solution; locally defined nonlinearity; variational method; EXISTENCE; EQUATION;
D O I：
10.1007/s00009-022-02248-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of nonlinear Schrodinger-Poisson system {-Delta u + V(x)u + phi u = lambda f(u) in R-3, -Delta phi = u(2) in R-3, where lambda > 0. Under some mild assumptions on V , we prove the existence of sign-changing solutions for lambda > 0 large enough by adopting a truncation argument and Moser iteration when f is only locally defined.
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