A Liouville type Theorem for an integral system

Li Ma, Dezhong Chen
2006 Communications on Pure and Applied Analysis  
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. 2000 Mathematics Subject Classification. 35J99, 45E10, 45G05.
doi:10.3934/cpaa.2006.5.855 fatcat:7jbgeso3unhura4o2tkreo6fzu