A Liouville type theorem for an integral system

被引：98
|
作者：
Ma, Li [1 ]
Chen, Dezhong [1 ]
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2006年 / 5卷 / 04期
关键词：
Lionville theorem; moving plane method; Stein-Weiss inequality;
D O I：
10.3934/cpaa.2006.5.855
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a conjecture of J.Serrin and give a partial generalized result of the work of de Figueiredo and Felmer about Liouville type Theorem for non-negative solutions for an elliptic system. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality.
引用
收藏
页码：855 / 859
页数：5
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