stratified measure;
soft Laplacian;
mean value;
Harnack inequality;
EQUATIONS;
D O I:
10.1134/S1064562424601379
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(n - 2)$$\end{document}-measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.