Some results of nontrivial solutions for Klein-Gordon-Maxwell systems with local super-quadratic conditions

被引：7

作者：

Zhang, Qiongfen ^{[1
]}

Gan, Canlin ^{[1
]}

Xiao, Ting ^{[1
]}

Jia, Zhen ^{[1
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Local super-quadratic conditions; Klein-Gordon-Maxwell system; Existence; Variational methods; GROUND-STATE SOLUTIONS; SOLITARY WAVES; EQUATION; NONEXISTENCE; EXISTENCE;

D O I：

10.1007/s12220-020-00483-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of nontrivial solutions for the following kind of Klein-Gordon-Maxwell system {- u+V(x)u-(2 omega+phi) phi u = f(x,u), x is an element of R-3, Delta phi=(omega+phi)u(2), x is an element of R-3, is investigated, where omega>0 is a constant, V is an element of C(R-3,R) is either periodic or coercive and is allowed to be sign-changing, f is an element of C(R(3)x R, R) and f is subcritical and local super-linear. Using local super-quadratic conditions and other suitable assumptions on the nonlinearity f (x, u) and the potential V(x), the existence of nontrivial solutions for the above system is established. The obtained results in this paper improve the related ones in the literature.

引用

页码：5372 / 5394

页数：23

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