Uniqueness of positive solutions for a class of elliptic systems

被引：6
|
作者：
An, Yulian [1 ]
机构：
[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 322卷 / 02期
关键词：
elliptic system; positive solutions; uniqueness;
D O I：
10.1016/j.jmaa.2005.09.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider uniqueness of positive radial solutions to the elliptic system Delta u + a(vertical bar x vertical bar)f(u, v) = 0, Delta v + b(vertical bar x vertical bar)g(u, v) = 0, subject to the Dirichlet boundary condition on the open unit ball in R-N(N >= 2). Our uniqueness results applies to, for instance, f(u, v) = u(q)v(p), g(u, v) = u(p)v(q), p,q > 0, p + q < 1 or more general cases. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1071 / 1082
页数：12
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