TY - JOUR
T1 - Symmetry and Uniqueness of Solutions of an Integral System
JO - Journal of Partial Differential Equations
VL - 4
SP - 351
EP - 360
PY - 2011
DA - 2011/11
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n4.6
UR - https://global-sci.org/intro/article_detail/jpde/5216.html
KW - Radial symmetry
KW - uniqueness
KW - integral system
KW - moving plane method
AB - <p>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.</p>