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

页码：1071 / 1082

页数：12

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