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.
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页码：231 / 247
页数：17
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