On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter

DOI10.1007/s12220-022-00917-zzbMath1487.35260arXiv2108.05256OpenAlexW3188504181MaRDI QIDQ2128781

Vladimir Lotoreichik, Ayman Kachmar

Publication date: 22 April 2022

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

Full work available at URL: https://arxiv.org/abs/2108.05256

zbMATH Keywords

isoperimetric inequalityhomogeneous magnetic fieldlowest eigenvalueparallel coordinatescentrally symmetric domainmagnetic Robin Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

Correction to: ``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 ⋮ Magnetic perturbations of the Robin Laplacian in the strong coupling limit

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