EXACT ASYMPTOTIC BEHAVIOR OF SINGULAR POSITIVE SOLUTIONS OF FRACTIONAL SEMI-LINEAR ELLIPTIC EQUATIONS

被引：5
|
作者：
Yang, Hui [1 ]
Zou, Wenming [2 ]
机构：
[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 07期
关键词：
LOCAL BEHAVIOR; LAPLACIANS; REGULARITY; SYMMETRY; THEOREMS;
D O I：
10.1090/proc/14448
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations (-Delta)(sigma) u = u(p) in B-1 \ {0} with an isolated singularity, where sigma is an element of (0, 1) and n/n - 2 sigma < p < n+2 sigma/n-2 sigma.
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页码：2999 / 3009
页数：11
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