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.

引用

页码：1 / 19

页数：19

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