English

Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations

Analysis of PDEs 2024-11-26 v1

Abstract

In this survey paper, we study the optimal regularity of solutions to uniformly degenerate elliptic equations in bounded domains and establish the H\"older continuity of solutions and their derivatives up to the boundary.

Keywords

Cite

@article{arxiv.2411.16418,
  title  = {Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations},
  author = {Qing Han and Jiongduo Xie},
  journal= {arXiv preprint arXiv:2411.16418},
  year   = {2024}
}

Comments

25 pages

R2 v1 2026-06-28T20:11:30.626Z