Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
MiS Preprint
18/2012
The maximum principle and the Dirichlet problem for Dirac-harmonic maps
Qun Chen, Jürgen Jost and Guofang Wang
Abstract
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.