On the boundary H\"{o}lder regularity for the infinity Laplace equation
Analysis of PDEs
2019-01-21 v1
Abstract
In this note, we prove the boundary H\"{o}lder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exterior cone condition, the Reifenberg flat domains, and the corkscrew domains (including the non-tangentially accessible domains) are special cases. The key idea, following [3], is that the strong maximum principle and the scaling invariance imply the boundary H\"{o}lder regularity.
Keywords
Cite
@article{arxiv.1901.06131,
title = {On the boundary H\"{o}lder regularity for the infinity Laplace equation},
author = {Leyun Wu and Yuanyuan Lian and Kai Zhang},
journal= {arXiv preprint arXiv:1901.06131},
year = {2019}
}