Counting eigenvalues of biharmonic operators with magnetic fields

DOI10.1002/mana.200410319zbMath1093.47019OpenAlexW2039319828MaRDI QIDQ5711804

Roger T. Lewis, W. Desmond Evans

Publication date: 8 December 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410319

zbMATH Keywords

eigenvaluesbiharmonic operatorRellich inequalityAharonov-Bohm magnetic fieldembbedings

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions

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