具有梯度约束的变分不等式的自由边界
偏微分方程分析
2015-08-11 v3
摘要
本文证明了某些具有梯度约束的变分不等式的自由边界与其定义域边界的切丛具有相同的正则性。为此，我们研究了平面中定义域脊（ridge）的广义概念，即定义域边界在 -范数下的距离函数的奇点集。
引用
@article{arxiv.1501.05337,
title = {The free boundary of variational inequalities with gradient constraints},
author = {Mohammad Safdari},
journal= {arXiv preprint arXiv:1501.05337},
year = {2015}
}
备注
Compared to the published version, here we added several explanatory footnotes to make the article more perspicuous. 23 pages