Zhong-Yang type eigenvalue estimate with integral curvature condition

DOI10.1007/s00209-019-02448-wzbMath1446.35084arXiv1812.00579OpenAlexW2993930622WikidataQ125894071 ScholiaQ125894071MaRDI QIDQ2197664

Qi S. Zhang, Guofang Wei, Shoo Seto, Xavier Ramos Olivé

Publication date: 1 September 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00579

zbMATH Keywords

integral curvatureintegral Ricci curvatureLaplace eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on manifolds (35R01)

Related Items (8)

On the first eigenvalue of the 𝑝-Laplacian on Riemannian manifolds ⋮ Comparison geometry for integral radial Bakry-Émery Ricci tensor bounds ⋮ Time analyticity for the parabolic type Schrödinger equation on Riemannian manifold with integral Ricci curvature condition ⋮ Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds ⋮ Manifolds with bounded integral curvature and no positive eigenvalue lower bounds ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ Eigenvalue estimates for Kato-type Ricci curvature conditions ⋮ Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions

Cites Work

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