Boundary pointwise regularity and applications to the regularity of free boundaries
Analysis of PDEs
2022-04-26 v2
Abstract
In this paper, we develop a series of boundary pointwise regularity for Dirichlet problems and oblique derivative problems. As applications, we give direct and simple proofs of the higher regularity of the free boundaries in obstacle-type problems and one phase problems.
Keywords
Cite
@article{arxiv.2204.09304,
title = {Boundary pointwise regularity and applications to the regularity of free boundaries},
author = {Yuanyuan Lian and Kai Zhang},
journal= {arXiv preprint arXiv:2204.09304},
year = {2022}
}