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Local gradient estimate for harmonic functions on Finsler manifolds
Chao XiaAbstract
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.
- Received:
- 18.02.14
- Published:
- 25.02.14
- MSC Codes:
- 31B05, 58B20, 35J15
- Keywords:
- Finsler manifold, harmonic function, gradient estimate