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20212026
most citedA reverse Faber-Krahn inequality for the magnetic Laplacian

8 citations · 10 across the 10 of their papers we have counts for

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math.SP2023★ 1 cited

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…

math.AP2023

Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case

Laura Abatangelo, Corentin Léna, Paolo Musolino

We provide a full series expansion of a generalization of the so-called -capacity related to the Dirichlet-Laplacian in dimension three and higher, extending previous results of…