The Riesz measure of G(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G(\cdot )$$\end{document}-superharmonic functions

被引：0

作者：

Hicham Eddaoudi ^{[1
]}

Allami Benyaiche ^{[1
]}

机构：

[1] Ibn Tofail University,Department of Mathematics

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2025年 / 74卷 / 1期

关键词：

-supersolution; -superharmonic; Radon measure; Musielak-Orlicz growth; -function; 31C05; 35D30; 35J70; 35J62; 31C45; 46E30; 46E35;

D O I：

10.1007/s12215-024-01125-0

中图分类号：

学科分类号：

摘要：

In this paper, we study the relationship between Riesz measure μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document} and G(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G(\cdot )$$\end{document}-superharmonic functions u, which satisfies: -divA(x,Du)=μ,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} -\operatorname {div} {\mathcal {A}}(x,D u)=\mu , \end{aligned}$$\end{document}in the distribution sense such that A(x,ξ)·ξ≈G(x,|ξ|)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {A}}(x,\xi )\cdot \xi \approx G(x,|\xi |)$$\end{document} and G(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G(\cdot )$$\end{document} is Φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi $$\end{document}-function.

引用