Infinitely Many Solutions of Schrodinger-Poisson Equations with Critical and Sublinear Terms

被引：0

作者：

Yao, Xianzhong ^{[1
,2
]}

Li, Xia ^{[3
]}

Zhang, Fuchen ^{[4
]}

Mu, Chunlai ^{[2
]}

机构：

[1] Shanxi Univ Finance & Econ, Fac Appl Math, Taiyuan 030006, Shanxi, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[3] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[4] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷

关键词：

SIGN-CHANGING SOLUTIONS; GROUND-STATE SOLUTIONS; KLEIN-GORDON-MAXWELL; POSITIVE SOLUTIONS; SYSTEM; EXISTENCE;

D O I：

10.1155/2019/8453176

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the following Schrodinger-Poisson equations -Delta u+u+phi u=u5+lambda a R3,-Delta phi=u2,x is an element of Double-struck capital R3, where the parameter lambda>0 and p is an element of When the parameter lambda is small and the weight function fills some appropriate conditions, we admit the Schrodinger-Poisson equations possess infinitely many negative energy solutions by using a truncation technology and applying the usual Krasnoselskii genus theory. In addition, a byproduct is that the set of solutions is compact.

引用

页数：9

共 42 条

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