Eigenvalues variation. II: Multidimensional problems

DOI10.1006/jdeq.1993.1072zbMath0807.34033OpenAlexW1561486746MaRDI QIDQ687474

Monique Dauge, Bernard Helffer

Publication date: 25 October 1993

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1072

zbMATH Keywords

Schrödinger operatorLaplace-Beltrami operatorplatecrackNeumann problemNeumann eigenvaluessingular Sturm-Liouville problemspherically symmetric potentials

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05)

Related Items (14)

Eigenvalue problems on domains with cracks. I ⋮ On Courant's nodal domain property for linear combinations of eigenfunctions. I ⋮ Multiple Aharonov–Bohm eigenvalues: The case of the first eigenvalue on the disk ⋮ Dependence of eigenvalues of \(2m\)th-order spectral problems ⋮ Dependence of eigenvalues of a class of higher-order Sturm-Liouville problems on the boundary ⋮ DEPENDENCE OF EIGENVALUES OF SIXTH-ORDER BOUNDARY VALUE PROBLEMS ON THE BOUNDARY ⋮ Scaling inequalities for spherical and hyperbolic eigenvalues ⋮ Maximizers beyond the hemisphere for the second Neumann eigenvalue ⋮ Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary ⋮ Unnamed Item ⋮ Surface states/modes in one-dimensional semi-infinite crystals ⋮ Nodal domains and spectral minimal partitions ⋮ Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions ⋮ On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics –

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