Symmetry of integral equation systems on bounded domains

被引：6
|
作者：
Huang, Xiaotao [1 ]
Li, Dongsheng [2 ]
Wang, Lihe [3 ,4 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[2] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China
[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[4] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 02期
关键词：
Moving planes; Integral equation systems; Symmetry of domains and solutions; CLASSIFICATION;
D O I：
10.1016/j.jmaa.2010.12.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the symmetry of domains and solutions of integral equation systems on bounded domains. Under some natural integrability conditions, we prove that the domains are balls, all positive solutions of systems are radially symmetric and monotone decreasing with respect to the radius. (C) 2010 Elsevier Inc. All rights reserved.
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页码：443 / 450
页数：8
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