A Liouville type Theorem for an integral system

Dezhong Chen; Li Ma

doi:10.3934/cpaa.2006.5.855

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2006, Volume 5, Issue 4: 855-859. Doi: 10.3934/cpaa.2006.5.855

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A Liouville type Theorem for an integral system

Dezhong Chen¹ and
Li Ma^1,

1.
Department of Mathematical Sciences, Tsinghua University, Beijing 100084

Received: December 2005

Revised: July 2006

Published: December 2006

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Abstract

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.

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Mathematics Subject Classification: 35J99, 45E10, 45G05.

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