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Inequalities for the lowest magnetic Neumann eigenvalue

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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.

Original languageEnglish
JournalLetters in Mathematical Physics
Pages (from-to)1683-1700
Number of pages18
Publication statusPublished - Jul 2019

    Research areas

  • Isoperimetric inequalities, Magnetic Faber-Krahn inequality, Spectral theory

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