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math.DG2013★ 2 cited
Regularity at the free boundary for Dirac-harmonic maps from surfaces
Ben Sharp, Miaomiao Zhu
We establish the regularity theory for certain critical elliptic systems with an anti-symmetric structure under inhomogeneous Neumann and Dirichlet boundary constraints. As applica…
math.AP2013
Critical problems in one complex dimension and some remarks on conformally invariant variational problems in two real dimensions
Ben Sharp
We will study a linear first order system, a connection $\db$ problem, on a vector bundle equipped with a connection, over a Riemann surface. We show optimal conditions on the conn…