Two solutions for nonhomogeneous Klein-Gordon equations coupled with Born-Infeld type equations
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Date
2022-11-15
Authors
Wang, Lixia
Xiong, Chunlian
Zhao, Pingping
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Klein-Gordon equation, Born-Infeld theory, Nonhomogeneous, Mountain pass theorem, Ekeland's variational principle
Citation
Wang, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.