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

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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Hauptverfasser: Liu, Ming-Lun, Tian, Yao-Lan
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2301.00541