Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth

被引：2

作者：

He, Chuan-Min

Li, Lin ^{[1
]}

Chen, Shang-Jie

机构：

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

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Klein-Gordon-Born-Infeld system; Moser iteration; mountain pass theorem; MULTIPLE SOLUTIONS; MAXWELL SYSTEM; SOLITARY WAVES; EXISTENCE;

D O I：

10.1515/anona-2022-0282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the following system: {-delta u + V(x)u- (2 omega + ?)?u= lambda f(u) + |u|(4)u, in R-3, delta? + beta delta(4)? = 4 pi(omega + ?)u(2), in R-3, where f (u) is without any growth and Ambrosetti-Rabinowitz condition. We use a cut-off function and Moser iteration to obtain the existence of nontrivial solution. Finally, as a by-product of our approaches, we obtain the same result for the Klein-Gordon-Maxwell system.

引用

页数：18

共 33 条

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