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arXiv · 1306.4260

Regularity at the free boundary for Dirac-harmonic maps from surfaces

Ben Sharp·Miaomiao Zhu
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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 $\epsilon$-regularity and smooth estimates for weakly Dirac-harmonic maps in all dimensions.

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Ben Sharp, Miaomiao Zhu. 2013-06-18. Regularity at the free boundary for Dirac-harmonic maps from surfaces. https://arxiv.org/abs/1306.4260

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