Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian

DOI10.1090/S0002-9939-2012-11365-6zbMath1272.34116OpenAlexW1993044428MaRDI QIDQ4907120

Chun-Kong Law, Wei-Cheng Lian, Chao-Zhong Chen, Wei-Chuan Wang

Publication date: 4 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11365-6

zbMATH Keywords

\(p\)-Laplacianeigenvalue ratiosingle-wellgeneralized Prüfer substitution

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Sturm-Liouville properties for Atkinson's semi-definitep-Laplacian eigenvalue problems ⋮ Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions

Cites Work

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• Eigenvalue ratios for Sturm--Liouville operators
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• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Optimal lower estimates for eigenvalue ratios of Schrödinger operators and vibrating strings
• A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials
• The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
• On the eigenvalue ratio for vibrating strings
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• On the first two eigenvalues of Sturm-Liouville operators
• Sturm--Liouville theory for the p-Laplacian
• Eigenvalue ratios for the regular Sturm-Liouville system

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