Local gradient estimate for harmonic functions on Finsler manifolds

DOI10.1007/s00526-013-0697-2zbMath1316.53083arXiv1308.3609OpenAlexW2151106741MaRDI QIDQ471106

Chao Xia

Publication date: 13 November 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3609

zbMATH Keywords

Liouville type theoremslocal gradient estimateFinsler measure spacesweighted Ricci curvature

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items

Differential inequalities on Finsler manifolds and their geometric applications ⋮ Geometric and functional inequalities on Finsler manifolds ⋮ Nonlinear geometric analysis on Finsler manifolds ⋮ Uniqueness of nonnegative solutions to elliptic differential inequalities on Finsler manifolds ⋮ Some \(L^p\) Liouville theorems on Finsler measure spaces ⋮ Sufficient criteria for obtaining Hardy inequalities on Finsler manifolds ⋮ Nonlinear spectrums of Finsler manifolds ⋮ Li-Yau's estimates on Finsler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
• Smooth metric measure spaces with non-negative curvature
• Vanishing S-curvature of Randers spaces
• A note on local gradient estimate on Alexandrov spaces
• Uniform convexity and smoothness, and their applications in Finsler geometry
• Finsler interpolation inequalities
• Differentiability of Lipschitz functions on metric measure spaces
• Sharp uniform convexity and smoothness inequalities for trace norms
• Yau's gradient estimates on Alexandrov spaces
• Ricci curvature for metric-measure spaces via optimal transport
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• Metric measure spaces with Riemannian Ricci curvature bounded from below
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• Heat flow on Finsler manifolds
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications

This page was built for publication: Local gradient estimate for harmonic functions on Finsler manifolds