Estimates for eigenvalues of the operator \(L_r\)

DOI10.1016/J.JMAA.2021.125739zbMath1485.53070arXiv1504.05364OpenAlexW3206704610MaRDI QIDQ2247715

Xuerong Qi, Guangyue Huang

Publication date: 17 November 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05364

zbMATH Keywords

eigenvalues\(L_r\) operator\(r\)-minimal submanifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Estimates for eigenvalues of ℒr operator on self-shrinkers

Cites Work

• Estimates for eigenvalues of the Paneitz operator
• Eigenvalue estimates for a class of elliptic differential operators on compact manifolds
• Hypersurfaces with constant scalar curvature
• On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface
• On the first eigenvalue of the linearized operator of the higher order mean curvature for closed hypersurfaces in space forms
• Estimates for eigenvalues of the Wentzell-Laplace operator
• A Reilly inequality for some natural elliptic operators on hypersurfaces
• \(r\)-minimal submanifolds in space forms
• First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature
• Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature
• Upper bounds for the first eigenvalue of the operator \(L_r\) and some applications

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