Fractional Non-linear Regularity, Potential and Balayage

被引：0
|
作者：
Shaoguang Shi
Lei Zhang
Guanglan Wang
机构：
[1] Linyi University,School of Mathematics and Statistics
来源：
The Journal of Geometric Analysis | 2022年 / 32卷
关键词：
Fractional harmonic function; Fractional capacity; Fractional Sobolev space; Weak solution; Primary 31B15; 31C05; Secondary 31B35; 35R11; 35D30;
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摘要：
This paper utilizes the (0,1)×(1,n/α)∋(α,p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(0,1)\times (1,n/\alpha )\ni (\alpha ,p)$$\end{document}-Sobolev spaces on the n-dimensional Euclidean bounded domains and their relative capacities to investigate the fractional non-linear regularity, potential and balayage problems.
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