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Compactness properties of weakly p-harmonic maps into homogeneous spaces

Compactness properties of weakly p-harmonic maps into homogeneous spaces

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 …