关于马祖尔凯维奇边界及其他紧化下 p-调和函数的凯洛格性质与边界正则性
偏微分方程分析
2020-06-05 v3
摘要
本文研究相对于马祖尔凯维奇边界及其他紧化的 p-调和函数的边界正则性。特别是，对于一大类紧化获得了凯洛格性质（即不规则边界点集的容量为零），但也给出了两个失效的例子。该研究针对配备加倍测度并支持 p-庞加莱不等式的完备度量空间进行，但结果在无权欧几里得空间中也是新的。
引用
@article{arxiv.1705.02255,
title = {The Kellogg property and boundary regularity for p-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications},
author = {Anders Björn},
journal= {arXiv preprint arXiv:1705.02255},
year = {2020}
}
备注
Third version: with a correction at the end (last two pages), filling in a gap in the argument. The main paper is identical to the first version. In the second version only the title changed in the metadata (it didn't correspond to the title in the paper)