Geometrically distinct solutions for Klein-Gordon-Maxwell systems with super-linear nonlinearities

被引：17

作者：

Chen, Sitong ^{[1
]}

Tang, Xianhua ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 90卷

基金：

中国国家自然科学基金;

关键词：

Klein-Gordon-Maxwell system; Geometrically distinct solutions; Variational methods; GROUND-STATE SOLUTIONS; EQUATION;

D O I：

10.1016/j.aml.2018.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following Klein-Gordon-Maxwell system {-Delta 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, where omega > 0 is a constant, V and f are periodic with respect to x. By combining deformation type arguments, Lusternik-Schnirelmann theory and some new tricks, we prove that the above system admits infinitely many geometrically distinct solutions under weaker superlinear conditions instead of the common super-cubic conditions on f. Our result seems new and extends the previous results in the literature. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：188 / 193

页数：6

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