Lakhal, HakimKhodja, Brahim2023-06-152023-06-152016-03-15Lakhal, H., & Khodja, B. (2016). Elliptic systems at resonance for jumping non-linearities. Electronic Journal of Differential Equations, 2016(70), pp. 1-13.1072-6691https://hdl.handle.net/10877/16942In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalTopological degreeElliptic systemsHomotopyArticle