English

Pointwise Boundary Differentiability for Fully Nonlinear Elliptic Equations

Analysis of PDEs 2021-10-19 v2

Abstract

In this paper, we prove the pointwise boundary differentiability for viscosity solutions of fully nonlinear elliptic equations. This generalizes the previous related results for linear equations. The geometrical conditions in this paper are pointwise and more general than before. Moreover, our proofs are relatively simple.

Keywords

Cite

@article{arxiv.2101.00228,
  title  = {Pointwise Boundary Differentiability for Fully Nonlinear Elliptic Equations},
  author = {Duan Wu and Yuanyuan Lian and Kai Zhang},
  journal= {arXiv preprint arXiv:2101.00228},
  year   = {2021}
}
R2 v1 2026-06-23T21:41:10.882Z