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Volume 38, Issue 3
Boundary Regularity for an Even Order Elliptic System in the Critical Dimension

Minglun Liu & Yaolan Tian

DOI: 10.4208/jpde.v38.n3.3

J. Part. Diff. Eq., 38 (2025), pp. 302-308.

Published online: 2025-09

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  • 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 problem.

  • AMS Subject Headings

35J48, 35B65, 35G35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-302, author = {Liu , Minglun and Tian , Yaolan}, title = {Boundary Regularity for an Even Order Elliptic System in the Critical Dimension}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {3}, pages = {302--308}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n3.3}, url = {http://global-sci.org/intro/article_detail/jpde/24402.html} }
TY - JOUR T1 - Boundary Regularity for an Even Order Elliptic System in the Critical Dimension AU - Liu , Minglun AU - Tian , Yaolan JO - Journal of Partial Differential Equations VL - 3 SP - 302 EP - 308 PY - 2025 DA - 2025/09 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/24402.html KW - Polyharmonic maps, higher order elliptic system, boudary continuity, Dirichlet problem. AB -

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.

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