一类变号位势的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 with the Sign-Changing Potential

作　　者：孙歆 SUN Xin(School of Science,Guizhou University of Engineering Science,Bijie,Guizhou551700,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：《贵州工程应用技术学院学报》2024年第3期1-8,共8页Journal of Guizhou University Of Engineering Science

基　　金：毕节市科学技术项目“Kirchhoff-Schröding-Poisson系统解的研究”,项目编号:毕科联合[2023]52;毕节市科学技术项目“几类椭圆方程解的问题研究”,项目编号:毕科联合[2023]28。

摘　　要：研究一类含有参数的Klein-Gordon-Maxwell系统解的存在性和多重性。当非线性项满足一般超线性条件且位势是允许变号时,利用变分法和分析技巧获得了系统解的存在性和多重性结果,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 with parameters.When the nonlinearity is general superlinear and the potential function is allowed to be sign-changing,we prove the existence and multiplicity of solutions for the system via variational methods and analytical techniques.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 山路定理 

分 类 号：O177.91[理学—数学]