Two solutions for nonhomogeneous Klein-Gordon equations coupled with Born-Infeld type equations
| dc.contributor.author | Wang, Lixia | |
| dc.contributor.author | Xiong, Chunlian | |
| dc.contributor.author | Zhao, Pingping | |
| dc.date.accessioned | 2023-05-15T19:00:40Z | |
| dc.date.available | 2023-05-15T19:00:40Z | |
| dc.date.issued | 2022-11-15 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16798 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Klein-Gordon equation | |
| dc.subject | Born-Infeld theory | |
| dc.subject | Nonhomogeneous | |
| dc.subject | Mountain pass theorem | |
| dc.subject | Ekeland's variational principle | |
| dc.title | Two solutions for nonhomogeneous Klein-Gordon equations coupled with Born-Infeld type equations | |
| dc.type | Article |