Two solutions for nonhomogeneous Klein-Gordon-Maxwell system with sign-changing potential
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Date
2018-06-16
Authors
Wang, Lixia
Chen, Shangjie
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the nonhomogeneous Klein-Gordon-Maxwell system
-∆u + λV(x)u - K(x) (2ω + φ) φu = ƒ(x, u) + h(x), x ∈ ℝ3,
∆φ = K(x) (ω + φ)u2, x ∈ ℝ3,
where ω > 0 is a constant and λ > 0 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.
Description
Keywords
Klein-Gordon-Maxwell system, Mountain pass theorem, Nonhomogeneous, Ekeland's variational principle
Citation
Wang, L., & Chen, S. (2018). Two solutions for nonhomogeneous Klein-Gordon-Maxwell system with sign-changing potential. <i>Electronic Journal of Differential Equations, 2018</i>(124), pp. 1-21.
Rights
Attribution 4.0 International