Ground state solutions for a Schrodinger-Poisson system with unconventional potential

被引：2

作者：

Du, Yao ^{[1
]}

Tang, Chunlei ^{[1
,2
]}

机构：

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

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Poisson system; ground state solutions; no limit problem; KLEIN-GORDON-MAXWELL; POSITIVE SOLUTIONS; SOLITARY WAVES; BOUND-STATES; EQUATION; EXISTENCE;

D O I：

10.1007/s10473-020-0404-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Schrodinger-Poisson system with nonlinear term Q(x)vertical bar u vertical bar(p-1)u, where the value of lim(vertical bar x vertical bar ->infinity) Q(x) may not exist and Q may change sign. This means that the problem may have no limit problem. The existence of nonnegative ground state solutions is established. Our method relies upon the variational method and some analysis tricks.

引用

页码：934 / 944

页数：11

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