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

页码：855 / 859

页数：5

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