Majorants for eigenvalues of Sturm-Liouville problems with potentials lying in balls of weighted spaces

DOI10.1070/SM8741zbMath1387.34118OpenAlexW2770438686MaRDI QIDQ4603915

A. A. Vladimirov

Publication date: 23 February 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8741

zbMATH Keywords

potentialSobolev spaceeigenvalueSturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Estimates for the first eigenvalue of the Sturm-Liouville problem with potentials in weighted spaces ⋮ Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems

Cites Work

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• Schrödinger operators with singular potentials from the space of multiplicators
• On the range of variation of an eigenvalue when the potential is varied
• On estimates of the first eigenvalue of the Sturm-Liouville problem
• The Sturm-Liouville Problem with Singular Potential and the Extrema of the First Eigenvalue
• On constructive mathematics

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