4 papers · 1 filter
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 low…
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…