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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.

Received:
Mar 23, 2012
Published:
Mar 26, 2012
MSC Codes:
58E20, 53C27
Keywords:
Dirac-harmonic map, maximum principle, uniqueness, existence

Related publications

inJournal
2012 Journal Open Access
Qun Chen, Jürgen Jost and Guofang Wang

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

In: Calculus of variations and partial differential equations, 47 (2012) 1/2, pp. 87-116