Lichnerowicz-type estimates for the first eigenvalue of biharmonic operator

DOI10.1080/17476933.2021.1921756zbMath1500.53052OpenAlexW3160362614MaRDI QIDQ5102310

Shahroud Azami, Mohammad Javad Habibi Vosta Kolaei

Publication date: 6 September 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1921756

zbMATH Keywords

eigenvalueKähler manifoldsbuckling problemclamped plate problemgeometric estimate

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
• Estimates of the principal eigenvalue of the \(p\)-biharmonic operator
• The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
• Estimates for eigenvalues of a biharmonic operator perturbed by the variation of a domain
• First eigenvalue for the \(p\)-Laplace operator
• First eigenvalue of the \(p\)-Laplacian under integral curvature condition
• Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
• A special Stoke's theorem for complete Riemannian manifolds
• The heat equation method of Milgram and Rosenbloom for open Riemannian manifolds
• First eigenvalue of the $p$-Laplacian on Kähler manifolds
• Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

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