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arXiv · 1203.2101

Regularity and Uniqueness of p-harmonic Maps with Small Range

Ali Fardoun·Rachid Regbaoui
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Abstract

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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Ali Fardoun, Rachid Regbaoui. 2012-03-09. Regularity and Uniqueness of p-harmonic Maps with Small Range. https://arxiv.org/abs/1203.2101

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