Wang, LixiaChen, Shangjie2022-02-142022-02-142018-06-16Wang, 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. 1-21.1072-6691https://hdl.handle.net/10877/15324In 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalKlein-Gordon-Maxwell systemMountain pass theoremNonhomogeneousEkeland's variational principleArticle