A Nonlinear Klein-Gordon-Maxwell System in R2 Involving Singular and Vanishing Potentials

被引：4

作者：

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

Li, Lin ^{[2
]}

机构：

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

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

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2019年 / 38卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Klein-Gordon-Maxwell system; Trudinger-Moser inequality; radial potentials; exponential critical growth; Mountain-Pass Theorem; SOLITARY WAVES; SCHRODINGER-EQUATIONS;

D O I：

10.4171/ZAA/1636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear Klein-Gordon-Maxwell system in R-2 and involving singular and vanishing potentials is considered. Under some mild assumptions on the potentials and nonlinearity, using variational methods and a Trudinger-Moser type inequality, we establish sufficient conditions for the existence of solution.

引用

页码：231 / 247

页数：17

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