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

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

Polyharmonic maps / higher order elliptic system / boudary continuity / Dirichlet prob-lem