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Inequalities for the lowest magnetic Neumann eigenvalue
Published 6 Jun 2017 in math.SP | (1706.01950v3)
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, under an assumption of fixed area, the disc maximizes this eigenvalue. More generally, we discuss old and new bounds obtained on this problem.
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