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.
机构:
Sun Yat Sen Univ, Sch Math Sci, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math Sci, Guangzhou 510275, Guangdong, Peoples R China
机构:
Sun Yat Sen Univ, Sch Math Sci, Guangzhou 510275, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math Sci, Guangzhou 510275, Guangdong, Peoples R China