Removable singularities for subsolutions of elliptic equations involving weighted variable exponent Sobolev spaces

被引：0
作者：
Juan Alcon Apaza
机构：
[1] Universidade Federal Fluminense,Instituto de Matemática
来源：
Advances in Operator Theory | 2023年 / 8卷
关键词：
Variable exponent; Weight function; Singular set; Removable singularity; Primary 35A20; Secondary 35J60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the removability of a singular set for elliptic equations involving weight functions and variable exponents. We consider the case where the singular set satisfies conditions related to some generalization of upper Minkowski content or a net measure, and give sufficient conditions for removability of this singularity for equations in the weighted variable exponent Sobolev spaces W1,p(·)(Ω,ϑ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W^{1,p(\cdot )}(\Omega ,\vartheta )$$\end{document}.
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