Sharp, B orcid.org/0000-0002-7238-4993 and Zhu, M (2016) Regularity at the free boundary for Dirac-harmonic maps from surfaces. Calculus of Variations and Partial Differential Equations, 55 (2). 27. ISSN 0944-2669
Abstract
We establish the regularity theory for certain critical elliptic systems with an anti-symmetric structure under inhomogeneous Neumann and Dirichlet boundary constraints. As applications, we prove full regularity and smooth estimates at the free boundary for weakly Dirac-harmonic maps from spin Riemann surfaces. Our methods also lead to the full interior ϵ-regularity and smooth estimates for weakly Dirac-harmonic maps in all dimensions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016, Springer-Verlag Berlin Heidelberg. This is a post-peer-review, pre-copyedit version of an article published in Calculus of Variations and Partial Differential Equations. The final authenticated version is available online at: https:// doi.org/10.1007/s00526-016-0960-4. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 17 Jul 2018 15:10 |
Last Modified: | 17 Jul 2018 15:10 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00526-016-0960-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132671 |