Local gradient estimate for harmonic functions on Finsler manifolds

Published 16 Aug 2013 in math.AP and math.DG | (1308.3609v2)

Abstract: In this paper, we prove the local gradient estimate for harmonic functions on complete, noncompact Finsler measure spaces under the condition that the weighted Ricci curvature has a lower bound. As applications, we obtain Liouville type theorem on Finsler manifolds with nonnegative Ricci curvature.

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Authors (1)

Chao Xia

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