Wang, LixiaXiong, ChunlianZhao, Pingping2023-05-152023-05-152022-11-15Wang, L., Xiong, C., & Zhao, P. (2022). Two solutions for nonhomogeneous Klein-Gordon equations coupled with Born-Infeld type equations. <i>Electronic Journal of Differential Equations, 2022</i>(74), pp. 1-11.1072-6691https://hdl.handle.net/10877/16798This article concerns the nonhomogeneous Klein-Gordon equation coupled with a Born-Infeld type equation, -Δu + V(x)u - (2ω + ϕ)ϕu = ƒ(x, u) + h(x), x ∈ ℝ3, Δϕ + βΔ4ϕ = 4π(ω + ϕ)u2, x ∈ ℝ3, where ω is a positive constant. We obtain the existence of two solutions using the Mountain Pass Theorem, and the Ekeland's variational principle in critical point theory.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalKlein-Gordon equationBorn-Infeld theoryNonhomogeneousMountain pass theoremEkeland's variational principleArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.