Fractional Hardy-Henon equations on exterior domains

被引：11
|
作者：
Li, Yimei [1 ]
Bao, Jiguang [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 2-3期
基金：
中国国家自然科学基金;
关键词：
Fractional Laplacian; Isolated singularity; Radially symmetric; Rate estimate; SEMILINEAR ELLIPTIC-EQUATIONS; LIOUVILLE-TYPE THEOREMS; LOCAL BEHAVIOR; POSITIVE SOLUTIONS; ISOLATED SINGULARITIES; REGULARITY; DIFFUSION;
D O I：
10.1016/j.jde.2018.07.062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the fractional Hardy-Henon equations with an isolated singularity. If the isolated singularity is located at the origin, we give a classification of solutions to this equation. If the isolated singularity is located at infinity, in the case of exterior domains, we provide decay estimates of solutions and their gradients at infinity. Our results are an extension of the classical work by Caffarelli, Gidas et al. (C) 2018 Elsevier Inc. All rights reserved.
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页码：1153 / 1175
页数：23
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