Lixia Wang, Shangjie Chen
In this article, we study the nonhomogeneous Klein-Gordon-Maxwell system
where is a constant and is a parameter. Using the Linking theorem and Ekeland's variational principle in critical point theory, we prove the existence of multiple solutions, under suitable assumptions that allow a sign-changing potential.
Submitted November 16, 2017. Published June 16, 2018.
Math Subject Classifications: 35B33, 35J65, 35Q55.
Key Words: Klein-Gordon-Maxwell system; mountain pass theorem; nonhomogeneous; Ekeland's variational principle.
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| Lixia Wang |
School of Sciences
Tianjin Chengjian University
Tianjin 300384, China
| Shangjie Chen |
School of Mathematics and Statistics
Chongqing Technology and Business University
Chongqing 400067, China
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