Article citationsMore>>

Verzini, G. and Zilio, A. (2014) Strong Competition versus Fractional Diffusion: The Case of Lotka-Volterra Interaction. Communications in Partial Differential Equations, 39, 2284-2313.
https://doi.org/10.1080/03605302.2014.890627

has been cited by the following article:

• TITLE: On the Uniqueness of the Limiting Solution to a Strongly Coupled Singularly Perturbed Elliptic System

  AUTHORS: Lu Liu, Shan Zhang

  KEYWORDS: Uniqueness, Spatial Segregation, Strongly Coupled Elliptic System, Free Boundary Problems

  JOURNAL NAME: Applied Mathematics, Vol.13 No.5, May 26, 2022

  ABSTRACT: This article is concerned with a strongly coupled elliptic system modeling the steady state of two or more populations that compete in some regions. We prove the uniqueness of the limiting configuration as the competing rate tends to infinity, under suitable conditions. The proof relies on properties of limiting solution and Maximum principle.