摘要：In this article, we study nonexistence, radial symmetry, and monotonicity of the positive solutions for a class of integral systems with weights. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Hardy-Littlewood-Sobolev inequality instead of Maximum Principle. Our results are new even for the Laplace case. 2010 MSC: 35J99; 45E10; 45G05.
关键词：integral system ; moving plane method ; nonexistence ; radial symmetry and monotonicity
