Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential

DOI10.1007/s12220-022-01001-2zbMath1498.35190arXiv2201.11100OpenAlexW4294904511WikidataQ114220962 ScholiaQ114220962MaRDI QIDQ2172437

Alessandro Savo, Luigi Provenzano, Bruno Colbois

Publication date: 15 September 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11100

zbMATH Keywords

ground stateNeumann problemmagnetic LaplacianSteklov problemAharonov-Bohm magnetic potentialreverse Faber-Krahn inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Variational methods for eigenvalues of operators (49Rxx)

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Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms

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