Regularity and Uniqueness of p-harmonic Maps with Small Range
Analysis of PDEs
2012-03-12 v1
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.
Cite
@article{arxiv.1203.2101,
title = {Regularity and Uniqueness of p-harmonic Maps with Small Range},
author = {Ali Fardoun and Rachid Regbaoui},
journal= {arXiv preprint arXiv:1203.2101},
year = {2012}
}
Comments
15 pages