A note on "Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part", by Hei Li-jun, Nonlinear Anal. Real World Appl. 5, 2004. (February 2022)

• Record Type: Journal Article
• Authors: Girardin, Léo
• Is Part Of: Nonlinear analysis. Volume 63(2022)
• Publication Date: 2022-02
• Subjects: Non-cooperative systems -- KPP systems -- Coexistence state; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103385
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this short paper I report on a paper published in Nonlinear Analysis: Real World Applications in 2004. There is a major mistake early in that paper which makes most of its claims false. The class of reaction–diffusion systems considered in the paper has been the object of a renewed investigation in the past few years, by myself and others, and recent discoveries provide explicit counter-examples.