Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain

被引：3
|
作者：
Li, Dongsheng [1 ]
Li, Zhenjie [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 139卷
关键词：
The fractional Laplacian; The overdetermined problems; Radial symmetry; Method of moving planes; BOUNDARY-VALUE-PROBLEMS; RADIAL SYMMETRY; ASYMPTOTIC SYMMETRY; CLASSIFICATION; REGULARITY; SYSTEMS; THEOREM;
D O I：
10.1016/j.na.2016.02.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by the method of moving planes, we extend the Serrin-type overdetermined problem to the fractional Laplacian equation on the exterior set of a multiply connected domain and the annular domain. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：196 / 210
页数：15
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