Infinitely many solutions for nonlinear Klein-Gordon-Maxwell system with general nonlinearity

被引：0

作者：

Hu, Wang ^{[1
]}

Liang, Shulin ^{[2
]}

机构：

[1] Hunan City Univ, Acad Affairs Off, Yiyang, Peoples R China

[2] Hunan City Univ, Sch Management, Yiyang, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 1期

关键词：

Klein-Gordon-Maxwell system; High energy solutions; Variational methods; GROUND-STATE SOLUTIONS; SOLITARY WAVES; EQUATION; NONEXISTENCE; EXISTENCE;

D O I：

10.1186/s13661-019-1140-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the nonlinear Klein-Gordon-Maxwell system Delta z + V( x) z - ( 2. + f) fz = g( x, z) x. R3, Delta f = (. + f) z2 x. R3, where the potential V and the primitive of g are both allowed to be sign-changing. Under more general superlinear assumptions on the nonlinearity, we obtain a new existence result of infinitely many high energy solutions by using variational methods. Some recent results in the literature are generalized and significantly improved.

引用

页数：10

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