47 citations · 154 across the 20 of their papers we have counts for
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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…