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一类变号位势的Klein-Gordon-Maxwell系统解的存在性和多重性

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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.
Existence and Multiplicity of Solutions for a Class of Klein-Gordon-Maxwell Systems with the Sign-Changing Potential
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.

Klein-Gordon-Maxwell SystemVariational MethodsMountain Pass Theorem

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贵州工程应用技术学院理学院,贵州 毕节 551700

Klein-Gordon-Maxwell系统 变分法 山路定理

毕节市科学技术项目毕节市科学技术项目

毕科联合[2023]52毕科联合[2023]28

2024

贵州工程应用技术学院学报
毕节学院

贵州工程应用技术学院学报

影响因子:0.175
ISSN:2096-0239
年,卷(期):2024.42(3)
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