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Inequalities for the lowest magnetic Neumann eigenvalue |
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| Authors: | Fournais S. Helffer B. |
| Affiliation: | 1.Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark ;2.LMJL, Université de Nantes and CNRS, 2 rue de la Houssinière, 44322, Nantes Cedex, France ; |
| Abstract: | We study the ground-state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field, we consider the question whether the disc maximizes this eigenvalue for fixed area. More generally, we discuss old and new bounds obtained on this problem. |
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