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
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（9）
• 页码范围: 1437-1452
• 页数: 16页
• 语种: 英文

摘要

In this paper,we consider the following two-coupled fractional Laplacian system with two or more isolated singularities{ (-△)su =μ1u2q+1 + βup1-1vp2,(-A)sv =μ2v2q+1 + βup1vp2-1 in Rn \ A,u ＞ 0,v ＞ 0,where s ∈ (0,1),n ＞ 2s and n ≥ 2.μ1,μ2 and β are all positive constants,p1,p2 ＞ 1 and p1 +p2 =2q + 2 ∈ (2n-2s/n-2s,2n/ n-2s].∧(∈)Rn contains finitely many isolated points.By the method of moving plane,we obtain the symmetry results for positive solutions to above system.