Symmetry of Positive Solutions to the Coupled Fractional System with Isolated Singularities  

作　　者：Meng Hui LI Jin Chun HE Hao Yuan XU Mei Hua YANG 

机构地区：[1]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第9期1437-1452,共16页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11971184,61873320 and 51836003)。

摘　　要：In this paper,we consider the following two-coupled fractional Laplacian system with two or more isolated singularities(-△)^(s)u=μ1u^(2q+1)+βu^(p1-1)v^(p2)(-△)^(s)v=μ2v(2q+1+βu^p1v^p2-1)in R(n)\Λ,u>0,u>0,where s∈(0,1),n>2s and n≥2.μ1,μ2 andβare all positive constants.p1,p2>1 and p1+p2=2q+2∈((2n-2s)/(n-2s),(2n)/(n-2s)].Λ■R^(n)contains finitely many isolated points.By the method of moving plane,we obtain the symmetry results for positive solutions to above system.

关 键 词：Fractional Laplacian system moving plane SYMMETRY SINGULARITY 

分 类 号：O175[理学—数学]