Regularity and Uniqueness of p-harmonic Maps with Small Range

Details Regularity and Uniqueness of p-harmonic Maps with Small Range Regularity and Uniqueness of p-harmonic Maps with Small Range

2012-03-09

arxiv.org/abs/1203.2101v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

We prove the uniqueness of solutions to Dirichlet problem for p-harmonic maps
with images in a small geodesic ball of the target manifold. As a consequence,
we show that such maps have Hoelder continuous derivatives. This gives an
extension of a result by S. Hildebrandt et al concerning harmonic maps.

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