Some results on complete Finsler measure spaces

DOI10.1016/j.jmaa.2020.124846zbMath1459.35008OpenAlexW3111490385MaRDI QIDQ1996138

Xiaohuan Mo, Song-Ting Yin

Publication date: 3 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124846

zbMATH Keywords

logarithmic Sobolev inequalityfirst eigenvalueweighted Ricci curvatureFinsler Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on manifolds (35R01)

Related Items (4)

A class of Finsler measure spaces of constant weighted Ricci curvature ⋮ Rigidity of Finsler gradient steady Ricci soliton ⋮ Unnamed Item ⋮ On a class of Finsler gradient Ricci solitons

Cites Work

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• Comparison theorems on Finsler manifolds with weighted Ricci curvature bounded below
• Comparison geometry for the Bakry-Emery Ricci tensor
• Comparison theorems in Finsler geometry and their applications
• Finsler interpolation inequalities
• Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
• Nonlinear geometric analysis on Finsler manifolds
• The first eigenvalue of Finsler \(p\)-Laplacian
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• Eigenvalues and eigenfunctions of metric measure manifolds
• Eigenvalues of the drifted Laplacian on complete metric measure spaces
• Heat flow on Finsler manifolds
• Logarithmic Sobolev Inequalities
• Séminaire de Probabilités XXXVI

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