American Institute of Mathematical Sciences

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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