Regularity for fully nonlinear elliptic equations with oblique boundary conditions
Analysis of PDEs
2019-01-21 v1
Abstract
In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise , and regularity. As byproducts, we also prove the A-B-P maximum principle, Harnack inequality, uniqueness and solvability of the equations.
Keywords
Cite
@article{arxiv.1901.06135,
title = {Regularity for fully nonlinear elliptic equations with oblique boundary conditions},
author = {Dongsheng Li and Kai Zhang},
journal= {arXiv preprint arXiv:1901.06135},
year = {2019}
}