Bifurcation from infinity and multiplicity results for an elliptic system from biology

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-03-13 DOI:10.3233/asy-231839

Chunqiu Li, Zhen Peng

引用次数: 0

Abstract

This article is concerned with the bifurcation from infinity of the following elliptic system arising from biology − κ Δ u = λ u + f ( x , u ) − v , − Δ v = u − v , in a bounded domain Ω ⊂ R N . We regard this problem as a stationary problem of some reaction-diffusion system. By using a method of a pure dynamical nature, we will establish some multiplicity results on bifurcations from infinity for this system under an appropriate Landesman-Lazer type condition.

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生物学上的椭圆系统的无穷分岔和多重性结果

本文讨论了在有界域Ω⊂RN中，由生物学−κΔu=λu+f（x，u）−v，−Δv=u−v引起的下列椭圆系统从无穷大开始的分支。我们把这个问题看作是一个反应扩散系统的平稳问题。利用纯动力学性质的方法，在适当的Landesman-Lazer型条件下，我们将建立该系统从无穷远分岔的一些多重性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.