Solitary wave of ground state type for a nonlinear Klein-Gordon equation coupled with Born-Infeld theory in R2

被引：12

作者：

Albuquerque, Francisco S. B. ^{[1
]}

Chen, Shang-Jie ^{[2
,3
]}

Li, Lin ^{[2
,3
,4
]}

机构：

[1] Univ Estadual Paraiba, Dept Matemat, BR-58429500 Campina Grande, Paraiba, Brazil

[2] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

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

[4] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 12期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Klein-Gordon equation; Born-Infeld theory; Trudinger-Moser inequality; unbounded or decaying radial potentials; critical exponential growth; Mountain-Pass Theorem; MAXWELL SYSTEM; MULTIPLE SOLUTIONS; EXISTENCE;

D O I：

10.14232/ejqtde.2020.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of nontrivial ground state solution for a nonlinear Klein-Gordon equation coupled with Born-Infeld theory in R-2 involving unbounded or decaying radial potentials. The approach involves variational methods combined with a Trudinger-Moser type inequality and a symmetric criticality type result.

引用

页码：1 / 18

页数：18

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