THE EXISTENCE AND UNIQUENESS OF A POSITIVE SOLUTION OF AN ELLIPTIC SYSTEM

• 来源期刊: 偏微分方程(英文版)
• 学科: 数学
• 关键词: Lotka-Volterra competition model coexistence state.
• 年，卷（期）: 2004,（1）
• 页码范围: 29-48
• 页数: 20页
• 分类号: O175.25,O175.26,O175.29.
• 语种: 英文

摘要

The existence and uniqueness of the positive solution for the generalized Lotka-Volterra competition model for several competing species Δui+ui(a-g(u1,…,un))=0 in Ω,ui=0 on бΩ for I = 1, ..., N were investigated. The techniques used in this paper are elliptic theory,upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.