47 citations · 154 across the 20 of their papers we have counts for
6 papers · 1 filter
Limiting absorption principle for the Magnetic Dirichlet Laplacian in a half-plane
Nicolas Popoff, Eric Soccorsi
We consider the Dirichlet Laplacian in the half-plane with constant magnetic field. Due to the translational invariance this operator admits a fiber decomposition and a family of d…
Mean curvature bounds and eigenvalues of Robin Laplacians
Konstantin Pankrashkin, Nicolas Popoff
We consider the Laplacian with attractive Robin boundary conditions, \[ Q^Ω_αu=-Δu, \quad \dfrac{\partial u}{\partial n}=αu \text{ on } \partialΩ, \] in a class of bounded smooth d…
Ground state energy of the magnetic Laplacian on corner domains
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff
The asymptotic behavior of the first eigenvalues of magnetic Laplacian operators with large magnetic fields and Neumann realization in smooth three-dimensional domains is character…
The Schrödinger operator on an infinite wedge with a tangent magnetic field
Nicolas Popoff
We study a model Schrödinger operator with constant magnetic field on an infinite wedge with Neumann boundary condition. The magnetic field is assumed to be tangent to a face. We c…
On the ground state of the Laplacian in presence of a magnetic field created by a rectilinear current
Vincent Bruneau, Nicolas Popoff
We consider the three-dimensional Laplacian with a magnetic field created by an infinite rectilinear current bearing a constant current. The spectrum of the associated hamiltonian…
Characterization of bulk states in one-edge quantum Hall systems
Peter D. Hislop, Nicolas Popoff, Eric Soccorsi
We study magnetic quantum Hall systems in a half-plane with Dirichlet boundary conditions along the edge. Much work has been done on the analysis of the currents associated with st…