Two solutions for nonhomogeneous Klein-Gordon-Maxwell system with sign-changing potential
| dc.contributor.author | Wang, Lixia | |
| dc.contributor.author | Chen, Shangjie | |
| dc.date.accessioned | 2022-02-14T18:37:27Z | |
| dc.date.available | 2022-02-14T18:37:27Z | |
| dc.date.issued | 2018-06-16 | |
| dc.description.abstract | In 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15324 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Klein-Gordon-Maxwell system | |
| dc.subject | Mountain pass theorem | |
| dc.subject | Nonhomogeneous | |
| dc.subject | Ekeland's variational principle | |
| dc.title | Two solutions for nonhomogeneous Klein-Gordon-Maxwell system with sign-changing potential | |
| dc.type | Article |