Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains

DOI10.1007/s10455-021-09759-4zbMath1470.35148arXiv2007.04661OpenAlexW3138728868MaRDI QIDQ2033056

Bruno Colbois, Alessandro Savo

Publication date: 14 June 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04661

zbMATH Keywords

Neumann conditionmagnetic Laplacian on planar domainsupper bounds for the first eigenvalue

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms

Cites Work

• Eigenvalues estimate for the Neumann problem of a bounded domain
• 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
• Hardy type inequalities for Aharonov-Bohm magnetic potentials with multiple singularities
• Lower bounds for the first eigenvalue of the magnetic Laplacian
• Inequalities for the lowest magnetic Neumann eigenvalue
• Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains
• Eigenvalue estimates for the Aharonov-Bohm operator in a domain
• Unnamed Item

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