English

Boundary Regularity for an Even Order Elliptic System in the Critical Dimension

Analysis of PDEs 2023-01-03 v1

Abstract

In this short note, we consider the Dirichlet problem associated to an even order elliptic system with antisymmetric first order potential. Given any continuous boundary data, we show that weak solutions are continuous up to boundary.

Keywords

Cite

@article{arxiv.2301.00541,
  title  = {Boundary Regularity for an Even Order Elliptic System in the Critical Dimension},
  author = {Ming-Lun Liu and Yao-Lan Tian},
  journal= {arXiv preprint arXiv:2301.00541},
  year   = {2023}
}

Comments

6 Pages

R2 v1 2026-06-28T07:59:12.956Z