8 citations · 10 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Eigenvalues of the Neumann magnetic Laplacian in the unit disk
Bernard Helffer, Corentin Léna
In this paper, we study the first eigenvalue of the magnetic Laplacian with Neumann boundary conditions in the unit disk in . There is a rather complete as…
Nodal counts for the Robin problem on Lipschitz domains
Katie Gittins, Asma Hassannezhad, Corentin Léna +1
We consider the Courant-sharp eigenvalues of the Robin Laplacian for bounded, connected, open sets in , , with Lipschitz boundary. We prove Pleijel's theore…
A reverse Faber-Krahn inequality for the magnetic Laplacian
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investig…
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…
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…
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…
Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains
Laura Abatangelo, Corentin Léna, Paolo Musolino
Taking advantage from the so-called "Lemma on small eigenvalues" by Colin de Verdière, we study ramification for multiple eigenvalues of the Dirichlet Laplacian in bounded perforat…