## Local gradient estimate for harmonic functions on Finsler manifolds

*Xia, Chao*;

- Journal: Calculus of variations and partial dierential equations (issn: 0944-2669)
Related identifiers: - Subject: Mathematics - Analysis of PDEs | Mathematics - Differential Geometryarxiv: Mathematics::Differential Geometry | Mathematics::Metric Geometry | Mathematics::Symplectic Geometry

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... View more

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Max Planck Society ( MPG ) GermanyWebsite url: http://www.mpg.de/en90% - Metrics

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