Lina Wu
Department of Mathematics, University of Oklahoma, Norman, OK 73019
Regularity for stable-stationary p-harmonic maps into an
ellipsoid
In this paper we investigate the regularity of stable-stationary
p-harmonic maps from an open set in an Euclidean space
into an ellipsoid. By assuming that the target manifolds do not carry any
homogeneous properties, we obtain some compactness results and regularity
theorems. As an application we prove that the stationary
p-harmonic maps into an ellipsoid are regular, except possibly
for a closed singular set of
(n - p)-dimensional Hausdorff measure zero.