Elliptic systems at resonance for jumping non-linearities

Date

2016-03-15

Authors

Lakhal, Hakim
Khodja, Brahim

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Topological degree, Elliptic systems, Homotopy

Citation

Lakhal, H., & Khodja, B. (2016). Elliptic systems at resonance for jumping non-linearities. <i>Electronic Journal of Differential Equations, 2016</i>(70), pp. 1-13.

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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.

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