Existence of positive ground state solutions of critical nonlinear Klein-Gordon-Maxwell systems

被引：1
|
作者：
Xu, Liping [1 ]
Chen, Haibo [2 ]
机构：
[1] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2022年 / 44期
基金：
中国国家自然科学基金;
关键词：
Klein-Gordon-Maxwell system; general critical growth; positive ground state solutions; variational methods; SCALAR FIELD-EQUATIONS; SOLITARY WAVES; NONEXISTENCE;
D O I：
10.14232/ejqtde.2022.1.44
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the following nonlinear Klein-Gordon-Maxwell system { -delta u + [m(0)(2 )- (omega + phi)(2)]u = f (u) in R-3, delta phi = (omega + phi)u in R-3, where 0 < omega < m(0). Based on an abstract critical point theorem established by Jeanjean, the existence of positive ground state solutions is proved, when the nonlinear term f(u) exhibits linear near zero and a general critical growth near infinity. Compared with other recent literature, some different arguments have been introduced and some results are extended.
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页码：1 / 19
页数：19
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