Uniqueness of positive solutions for semilinear elliptic systems

被引：9

作者：

Hai, DD ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math, Mississippi State, MS 39762 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 313卷 / 02期

关键词：

uniqueness; positive solutions; semilinear systems;

D O I：

10.1016/j.jmaa.2005.07.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of positive solutions for the system Delta u = -lambda f(nu), Delta nu = -mu g(u) in Omega, u = v = 0 on partial derivative Omega, where Omega is a bounded domain in R-N, f,g: R+ -> R+ and f(x) similar to x(p), g(x) similar to x(q) at infinity for some positive numbers p, q with pq < 1. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：761 / 767

页数：7

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