Local gradient estimate for harmonic functions on Finsler manifolds |
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Authors: | Chao Xia |
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Institution: | 1. Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22, 04103?, Leipzig, Germany
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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 theorems on noncompact Finsler manifolds with nonnegative Ricci curvature. |
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