Estimates of the gaps between consecutive eigenvalues of Laplacian

DOI10.2140/PJM.2016.282.293zbMath1335.35165arXiv1309.7446OpenAlexW1677943112MaRDI QIDQ265520

Tao Zheng, Hongcang Yang, Da-Guang Chen

Publication date: 4 April 2016

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

Full work available at URL: https://arxiv.org/abs/1309.7446

zbMATH Keywords

Riemannian manifoldhyperbolic spaceLaplacianconsecutive eigenvaluestest function

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators ⋮ Universal inequalities on complete noncompact smooth metric measure spaces ⋮ Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations

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