Mckean-type Estimates for the First Eigenvalue of the p-Laplacian and (p,q)-Laplacian ‎Operators‎ on Finsler Manifolds

DOI10.36890/iejg.1133383zbMath1517.53068OpenAlexW4367050651MaRDI QIDQ6158751

Shahroud Azami, Sakineh Hajiaghasi

Publication date: 20 June 2023

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1133383

zbMATH Keywords

\(p\)-Laplacian operatorfirst eigenvalue\((p,q)\)-Laplacian operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Unnamed Item
• The first eigenfunctions and eigenvalue of the \(p\)-Laplacian on Finsler manifolds
• Comparison theorems in Finsler geometry and their applications
• Finsler interpolation inequalities
• A new Laplacian comparison theorem and the estimate of eigenvalues
• The first eigenvalue of Finsler \(p\)-Laplacian
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• Some eigenvalue comparison theorems of Finsler p-Laplacian
• On lower bounds of the first eigenvalue of Finsler--Laplacian
• Comparison theorems in Riemann-Finsler geometry with line radial integral curvature bounds and related results