Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators

DOI10.1063/5.0088097OpenAlexW4283813347WikidataQ114103192 ScholiaQ114103192MaRDI QIDQ5884572

Gang Meng, Meirong Zhang, Ping Yan, Shu-Yuan Guo

Publication date: 23 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0088097

Mathematics Subject Classification ID

Spectral theory; eigenvalue problems on manifolds (58C40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Variational methods for eigenvalues of operators (49R05)

Related Items (3)

Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations

Cites Work

• Unnamed Item
• Estimates of the gaps between consecutive eigenvalues of Laplacian
• Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line
• Extremal eigenvalues of measure differential equations with fixed variation
• Eigenvalue ratios for Sturm--Liouville operators
• On minimal and maximal eigenvalue gaps and their causes
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• Dependence of solutions and eigenvalues of measure differential equations on measures
• Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues
• Proof of the fundamental gap conjecture
• On the Ratio of Consecutive Eigenvalues
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• An Introduction to Banach Space Theory
• Extremal eigenvalue gaps for the Schrödinger operator with Dirichlet boundary conditions
• The Lebesgue-Stieltjes Integral
• On the first two eigenvalues of Sturm-Liouville operators
• Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials
• Extremal problems for eigenvalues of measure differential equations

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