Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains

DOI10.1016/j.jfa.2021.108999zbMath1461.58011arXiv2006.12762OpenAlexW3136967990MaRDI QIDQ2020090

Alessandro Savo, Bruno Colbois

Publication date: 23 April 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12762

zbMATH Keywords

spectrumlowest eigenvaluemagnetic Laplacianplanar domains

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (2)

Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms ⋮ Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains

Cites Work

• Estimates for the lowest eigenvalue of magnetic Laplacians
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• Spectral methods in surface superconductivity
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
• Diamagnetic behavior of sums of Dirichlet eigenvalues
• Lower bounds for the first eigenvalue of the magnetic Laplacian
• Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
• Inequalities for the lowest magnetic Neumann eigenvalue
• Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles
• Magnetic spectral bounds on starlike plane domains
• 10 Nodal and spectral minimal partitions – The state of the art in 2016 –
• Lower bounds for the nodal length of eigenfunctions of the Laplacian

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