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
孙歆1
作者信息
- 1. 贵州工程应用技术学院理学院,贵州 毕节 551700
- 折叠
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.
Abstract
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Key words
Klein-Gordon-Maxwell System/Variational Methods/Mountain Pass Theorem引用本文复制引用
基金项目
毕节市科学技术项目(毕科联合[2023]52)
毕节市科学技术项目(毕科联合[2023]28)
出版年
2024
NETL
NSTL
万方数据