On weakly harmonic maps from Finsler to Riemannian manifolds |
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Authors: | Heiko von der Mosel Sven Winklmann |
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Institution: | 1. Institut für Mathematik, RWTH Aachen, Germany;2. Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Pisa, Italy |
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Abstract: | We prove global C0,α-estimates for harmonic maps from Finsler manifolds into regular balls of Riemannian target manifolds generalizing results of Giaquinta, Hildebrandt, and Hildebrandt, Jost and Widman from Riemannian to Finsler domains. As consequences we obtain a Liouville theorem for entire harmonic maps on simple Finsler manifolds, and an existence theorem for harmonic maps from Finsler manifolds into regular balls of a Riemannian target. |
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Keywords: | 35B45 53B40 53C43 58E20 |
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