Some notes on supersolutions of fractional p-Laplace equation

被引：18
作者：
Shi, Shaoguang [1 ]
机构：
[1] Linyi Univ, Dept Math, Linyi 276005, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 463卷 / 02期
关键词：
Fractional p-Laplace equation; Superharmonic function; Supersolution; Obstacle problem; SUPERHARMONIC FUNCTIONS; NONLINEAR EQUATIONS; OBSTACLE PROBLEM; SOBOLEV SPACES; REGULARITY; EIGENVALUES; CAPACITIES; BOUNDARY; BREZIS;
D O I：
10.1016/j.jmaa.2018.03.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper gives a further understanding of supersolutions to the regional fractional p-Laplace equation. To do so, the obstacle problem and the fractional superharmonic functions associated with this equation are further studied. In particular, we clarify the connections among supersolutions of the fractional p-Laplace equation, the fractional superharmonic functions and solutions to the obstacle problem. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1052 / 1074
页数：23
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