Some notes on supersolutions of fractional p-Laplace equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:463

Article

Shi, Shaoguang¹ 

[1] Linyi Univ, Dept Math, Linyi 276005, Peoples R China

关键词: Fractional p-Laplace equation;    Superharmonic function;    Supersolution;    Obstacle problem;   

DOI  :  10.1016/j.jmaa.2018.03.064

来源: Elsevier

【 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.

【 授权许可】

Free