Symmetry and Uniqueness of Solutions of an Integral System  

作　　者：ZHANG Zhengce JIANG Minji 

机构地区：[1]College of Science, Xi＇an Jiaotong University, Xi＇an 710049, P. R. China [2]Beijing Areospace Control Center, Beijing 5130-109, P. R. China.

出　　处：《Journal of Partial Differential Equations》2011年第4期351-360,共10页偏微分方程（英文版）

摘　　要：In this paper, we study the positive solutions for a class of integral systems and prove that all the solutions are radially symmetric and monotonically decreasing about some point. Moreover, we also obtain the uniqueness result for a special case. We use a new type of moving plane method introduced by Chen-Li-Ou [1]. Our new ingredient is the use of Hardy-Littlewood-Sobolev inequality instead of Maximum Principle.

关 键 词：Radial symmetry UNIQUENESS integral system moving plane method. 

分 类 号：O178[理学—数学] TP273[理学—基础数学]