On lower bounds of the first eigenvalue of Finsler--Laplacian

DOI10.5486/PMD.2013.5532zbMath1340.53112arXiv1210.7606MaRDI QIDQ5176721

Qun He, Yi-Bing Shen, Song-Ting Yin

Publication date: 3 March 2015

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7606

zbMATH Keywords

Ricci curvaturefirst eigenvalue\(S\)-curvatureFinsler-Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (9)

The lower and upper bounds of the first eigenvalues for the bi-Laplace operator on Finsler manifolds ⋮ Some rigidity theorems on Finsler manifolds ⋮ The first eigenfunctions and eigenvalue of the \(p\)-Laplacian on Finsler manifolds ⋮ The maximum diam theorem on Finsler manifolds ⋮ Mckean-type Estimates for the First Eigenvalue of the p-Laplacian and (p,q)-Laplacian Operators on Finsler Manifolds ⋮ On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature ⋮ The first eigenvalue of Finsler \(p\)-Laplacian ⋮ Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound ⋮ A Lichnerowicz-Obata-Cheng type theorem on Finsler manifolds

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