Article ID Journal Published Year Pages File Type
4614318 Journal of Mathematical Analysis and Applications 2016 17 Pages PDF
Abstract

We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded, open, simply connected domain in two dimensions. When the magnetic field is constant, we give lower and upper bounds in terms of geometric quantities of the domain. We furthermore prove a lower bound for the first magnetic Neumann eigenvalue in the case of constant magnetic field.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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