Regularity and Uniqueness of p-harmonic Maps with Small Range
  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. 
Ali Fardoun and Rachid Regbaoui
math.AP