Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 5, Issue 4, Pages 855-859Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2006.5.855
Keywords
Lionville theorem; moving plane method; Stein-Weiss inequality
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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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