Magnetic spectral bounds on starlike plane domains

DOI10.1051/cocv/2014043zbMath1319.35130arXiv1401.0850OpenAlexW2963796616MaRDI QIDQ5262292

Bartłomiej A. Siudeja, Richard Snyder Laugesen

Publication date: 13 July 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0850

zbMATH Keywords

Pauli operatorisoperimetricheat tracemagnetic Laplacianspectral zeta

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Estimates for the lowest eigenvalue of magnetic Laplacians ⋮ On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter ⋮ Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential ⋮ Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms ⋮ Lower bounds for the first eigenvalue of the magnetic Laplacian ⋮ Series in a Lipschitz perturbation of the boundary for solving the Dirichlet problem ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator ⋮ Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains

Uses Software

• DLMF

Cites Work

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