, Volume 47, Issue 1-2, pp 87-116,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 29 Mar 2012

The maximum principle and the Dirichlet problem for Dirac-harmonic maps


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.

Communicated by L. Ambrosio.