The lower and upper bounds of the first eigenvalues for the bi-Laplace operator on Finsler manifolds

DOI10.1016/j.difgeo.2016.03.007zbMath1338.35313OpenAlexW2342224318WikidataQ115355702 ScholiaQ115355702MaRDI QIDQ288880

Liu-Wei Zhang, Shengliang Pan

Publication date: 27 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.03.007

zbMATH Keywords

upper boundlower boundFinsler manifoldbi-Laplace operatorBochner's formula

Mathematics Subject Classification ID

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

Cites Work

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• Finsler interpolation inequalities
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• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• On the geometry of metric measure spaces. I
• Eigenvalues and eigenfunctions of metric measure manifolds
• On the Ratio of Consecutive Eigenvalues
• On lower bounds of the first eigenvalue of Finsler--Laplacian

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