Compactness properties of weakly p-harmonic maps into homogeneous spaces
Tatiana Toro, Changyou Wang · Indiana University Mathematics Journal · 1995
In this paper we prove that the space of weakly p-harmonic maps from an open set in R n into a homogeneous space with a left invariant metric is compact.We give a regularity criteria for weakly p-harmonic maps.As an application we prove that stationary p-harmonic maps into homogeneous spaces are regular, except possibly for a closed singular set of (np)-dimensional Hausdorff measure zero.