Elliptic systems at resonance for jumping non-linearities
| dc.contributor.author | Lakhal, Hakim | |
| dc.contributor.author | Khodja, Brahim | |
| dc.date.accessioned | 2023-06-15T19:30:21Z | |
| dc.date.available | 2023-06-15T19:30:21Z | |
| dc.date.issued | 2016-03-15 | |
| dc.description.abstract | In this article, we study the existence of nontrivial solutions for the problem -Δu = α1u+ - β1u‾ + ƒ(x, u, v) + h1(x) in Ω, -Δv = α2v+ - β2v‾ + g(x, u, v) + h2(x) in Ω, u = v = 0 on ∂Ω, where Ω is a bounded domain in ℝN, and h1, h2 ∈ L2(Ω). Here [αj, βj] ∩ σ(-∆) = λ, where σ(∙) is the spectrum. We use the Leray-schauder degree theory. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lakhal, H., & Khodja, B. (2016). Elliptic systems at resonance for jumping non-linearities. Electronic Journal of Differential Equations, 2016(70), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16942 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Topological degree | |
| dc.subject | Elliptic systems | |
| dc.subject | Homotopy | |
| dc.title | Elliptic systems at resonance for jumping non-linearities | |
| dc.type | Article |