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

Minglun Liu; Yaolan Tian

doi:10.4208/jpde.v38.n3.3

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.

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Published

2025-09-15

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Issue

Vol. 38 No. 3 (2025)

Section

Articles

How to Cite

Boundary Regularity for an Even Order Elliptic System in the Critical Dimension. (2025). Journal of Partial Differential Equations, 38(3), 302-308. https://doi.org/10.4208/jpde.v38.n3.3