An upper bound for small eigenvalues of the Laplacian

zbMATH Open1115.58027MaRDI QIDQ1412393

Neil N. Katz

Publication date: 10 November 2003

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1153493093

zbMATH Keywords

eigenvaluesRiemannian manifoldsectional curvatureLaplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On the Smallest Eigenvalue of Grounded Laplacian Matrices ⋮ Unnamed Item ⋮ Boundedness of the first eigenvalue of the 𝑝-Laplacian ⋮ Small Perturbations and the Eigenvalues of the Laplacian on Large Bounded Domains ⋮ Berger’s Inequality in the Presence of Upper Sectional Curvature Bound

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