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Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
math.SP2023
Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
Corentin Léna, Jonathan Rohleder
We prove sharp upper bounds for the first and second non-trivial eigenvalues of the Neumann Laplacian in two classes of domains: parallelograms and domains of constant width. This…