Rayleigh-type isoperimetric inequality with a homogeneous magnetic field |
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Authors: | László Erdős |
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Affiliation: | (1) Forschungsinstitut für Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland |
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Abstract: | We prove that the two dimensional free magnetic Schrödinger operator, with a fixed constant magnetic field and Dirichlet boundary conditions on a planar domain with a given area, attains its smallest possible eigenvalue if the domain is a disk. We also give some rough bounds on the lowest magnetic eigenvalue of the disk.This article was processed by the author using the style filepljour1m from Springer-Verlag. |
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Keywords: | 35J10 35J20 |
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