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arXiv · 1308.3609

Local gradient estimate for harmonic functions on Finsler manifolds

Chao Xia
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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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Chao Xia. 2013-12-17. Local gradient estimate for harmonic functions on Finsler manifolds. https://arxiv.org/abs/1308.3609

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