Infinitely many high energy radial solutions for Schrodinger-Poisson system

被引：4

作者：

Wang, Yi-Nuo ^{[1
]}

Wu, Xing-Ping ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 100卷

关键词：

Schrodinger-Poisson system; High energy radial solutions; Minimax principle; Symmetric mountain pass; SCALAR FIELD-EQUATIONS; GROUND-STATE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.aml.2019.106012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following Schrodinger-Poisson system {-Delta u + u + phi u = f(u), in R-3, -Delta phi = u(2), in R-3, where f is an element of C(R,R), and there exists mu > 3 such that 1/mu f(t)t >= F(t) > 0 with t is an element of R\{0}. We obtain infinitely many high energy radial solutions for the system by using a method generating a Palais-Smale sequence with an extra property related to Pohozaev identity. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：6

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