The Eigenvalues of a Class of Elliptic Differential Operators

DOI10.4208/jpde.v36.n1.4OpenAlexW4312186782WikidataQ117217797 ScholiaQ117217797MaRDI QIDQ5880861

Mohammad Javad Habibi Vosta Kolaei, Shahroud Azami

Publication date: 6 March 2023

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n1.4

zbMATH Keywords

eigenvalue problem elliptic operators Bochner type formula

Mathematics Subject Classification ID

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

Cites Work

• Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen
• Eigenvalue estimates for a class of elliptic differential operators on compact manifolds
• Hypersurfaces with constant scalar curvature
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Elliptic partial differential equations of second order
• Eigenvalue estimates for a class of elliptic differential operators in divergence form
• A gap theorem for hypersurfaces of the sphere with constant scalar curvature one
• Conformal bounds for the first eigenvalue of the \(p\)-Laplacian
• A Liouville-type theorem for smooth metric measure spaces
• First eigenvalue for the \(p\)-Laplace operator
• Comparison geometry for an extension of Ricci tensor
• First eigenvalue of the \(p\)-Laplacian under integral curvature condition
• A special Stoke's theorem for complete Riemannian manifolds
• The heat equation method of Milgram and Rosenbloom for open Riemannian manifolds
• Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces

This page was built for publication: The Eigenvalues of a Class of Elliptic Differential Operators