REGULARITY OF P-HARMONIC MAPPINGS INTO NPC SPACES

来源 :数学物理学报(英文版) | 被引量 : 0次 | 上传用户:lhm0510
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Let M be a C2-smooth Riemannian manifold with boundary and X be a metric space with non-positive curvature in the sense of Alexandrov.Let u: M → X be a Sobolev mapping in the sense of Korevaar and Schoen.In this short note,we introduce a notion of p-energy for u which is slightly different from the original definition of Korevaar and Schoen.We show that each minimizing p-harmonic mapping (p ≥ 2) associated to our notion of p-energy is locally H(o)lder continuous whenever its image lies in a compact subset of X.
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