一类Klein-Gordon-Maxwell系统解的存在性和多重性  

Existence and Multiplicity of Solutions for a Class of Klein-Gordon-Maxwell Systems

作　　者：孙歆 段誉 SUN Xin;DUAN Yu(College of Science, Guizhou University of Engineering Science, Bijie Guizhou 551700, China)

机构地区：[1]贵州工程应用技术学院理学院,贵州毕节551700

出　　处：《西南师范大学学报（自然科学版）》2022年第8期38-47,共10页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11661021);贵州省普通高等学校科技拔尖人才项目(黔教合KY字[2019]065);贵州省教育厅青年人才成长项目(黔教合KY字[2020]144).

摘　　要：研究了一类含有参数且具有凹凸非线性项的Klein-Gordon-Maxwell系统解的存在性和多重性.当凸非线性项满足广义超线性条件时,利用变分方法获得了系统解的存在性和多重性结果,并对参数的综合影响做了准确分析,完善了此系统解的存在性的已有相关结果.In this paper,the existence and multiplicity of solutions have been established for a class of Klein-Gordon-Maxwell system with parameters and concave-convex nonlinearities.When the convex nonlinearity is general superlinear,the existence and multiplicity of solutions for the system have been proved via variational methods and make accurate analysis on the combined effect of parameters.Our result completes some recent works concerning the existence of solutions of this system.

关 键 词：Klein-Gordon-Maxwell系统 变分法 对偶喷泉定理 对称山路定理 

分 类 号：O177.91[理学—数学]