A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials

DOI10.1090/S0002-9939-05-08100-1zbMath1098.34067OpenAlexW1990348216MaRDI QIDQ3372128

Miklós Horváth, Márton Kiss

Publication date: 17 February 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08100-1

Mathematics Subject Classification ID

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

Related Items

Eigenvalue ratios for Schrödinger operators with indefinite potentials, The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional \(p\)-Laplacian, The eigenvalue ratio of the vibrating strings with mixed boundary condition, The dual eigenvalue problems for \(p\)-Laplacian, Optimal upper bounds for the eigenvalue ratios of one-dimensional $p$-Laplacian, Eigenvalue ratios for vibrating string equations with single-well densities

Cites Work

• Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
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