Local gradient estimate for Finsler \(p\)-eigenfunctions on Finsler manifolds with \(\mathrm{Ric}_\infty \geq -K\)

DOI10.22098/JFGA.2023.13069.1091zbMATH Open1540.53041MaRDI QIDQ6551417

Zhifan Chen, Ya Lu Feng, Xinyue Cheng

Publication date: 6 June 2024

Published in: Journal of Finsler Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

gradient estimateHarnack inequalityRicci curvatureweighted Ricci curvatureFinsler measure space

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Title not available (Why is that?)
• Local gradient estimate for harmonic functions on Finsler manifolds
• Some Liouville-type theorems for harmonic functions on Finsler manifolds
• Comparison theorems in Finsler geometry and their applications
• Uniform convexity and smoothness, and their applications in Finsler geometry
• Finsler interpolation inequalities
• A sphere theorem for non-reversible Finsler metrics
• Local and global gradient estimates for Finsler \(p\)-harmonic functions
• Some inequalities on Finsler manifolds with weighted Ricci curvature bounded below
• Sharp spectral gap for the Finsler \(p\)-Laplacian
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• Lectures on Finsler geometry
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Comparison Finsler Geometry

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