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

Authors

  • Minglun Liu
  • Yaolan Tian

DOI:

https://doi.org/10.4208/jpde.v38.n3.3

Keywords:

Polyharmonic maps, higher order elliptic system, boudary continuity, Dirichlet problem.

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.

Downloads

Published

2025-09-15

Issue

Vol. 38 No. 3 (2025)

Section

Articles