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math.SP2026
Monotonicity and the de Gennes bound for the magnetic Neumann Laplacian in the disk
Corentin Léna, Mikael Sundqvist
We consider the lowest eigenvalue of the magnetic Neumann Laplacian in the unit disk, for a constant magnetic field of strength . We prove that is strictly increasi…
math.SP2026
A magnetic eigenvalue bound in the disk
Corentin Léna, Mikael Sundqvist
We consider the magnetic Schrödinger operator in the unit disk with constant magnetic field of strength and magnetic Neumann boundary condition. If denotes its lowes…
math.AP2026
Corrigendum to "Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains" published in Journal of Functional Analysis 283 (2022) 109718
Laura Abatangelo, Corentin Léna, Paolo Musolino
We fix the proof of Theorem 1.17 in the quoted reference, which does not in general gives the correct coefficients in the asymptotic behavior of eigenvalues for the Dirichlet Lapla…