December  2006, 5(4): 855-859. doi: 10.3934/cpaa.2006.5.855

A Liouville type Theorem for an integral system

1. 

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China, China

Received  December 2005 Revised  July 2006 Published  September 2006

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.
Citation: Dezhong Chen, Li Ma. A Liouville type Theorem for an integral system. Communications on Pure & Applied Analysis, 2006, 5 (4) : 855-859. doi: 10.3934/cpaa.2006.5.855
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