Existence and Multiplicity of Solutions for Nonhomogeneous Klein-gordon-maxwell Equations
نویسندگان
چکیده
This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation −∆u+ u− (2ω + φ)φu = |u|p−1u+ h(x), in R, ∆φ = (ω + φ)u, in R, where ω > 0 is constant, p ∈ (1, 5). Under appropriate assumptions on h(x), the existence of at least two solutions is obtained by applying the Ekeland’s variational principle and the Mountain Pass Theorem in critical point theory.
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