带有凹凸非线性项的Klein-Gordon-Maxwell系统解的存在性和多重性  

Existence and Multiplicity of Solutions for Klein-Gordon-Maxwell Systems with Concave-Convex Nonlinearities

作　　者：段誉 孙歆 DUAN Yu;SUN Xin(College of Science,Guizhou University of Engineering Science,Bijie 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：《应用数学》2022年第1期120-127,共8页Mathematica Applicata

基　　金：国家自然科学基金(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：研究一类Klein-Gordon-Maxwell系统解的存在性和多重性.当非线性项是凹凸非线性项时,利用变分方法获得了系统解的存在性和多重性结果,并完善了此系统解的存在性的已有结果.In this paper, we establish the existence and multiplicity of solutions for a class of Klein-Gordon-Maxwell system. When the nonlinearities are concave–convex nonlinearities, the existence and multiplicity of solutions for the system are obtained via variational methods. 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 凹凸非线性项 

分 类 号：O176.[理学—数学]