The maximum principle and the Dirichlet problem for Dirac-harmonic maps
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- Chen, Q., Jost, J. & Wang, G. Calc. Var. (2013) 47: 87. doi:10.1007/s00526-012-0512-5
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We establish a maximum principle and uniqueness for Dirac-harmonic maps from a Riemannian spin manifold with boundary into a regular ball in any Riemannian manifold N. Then we prove an existence theorem for a boundary value problem for Dirac-harmonic maps.