29 citations · 39 across the 4 of their papers we have counts for
4 papers
Counting eigenvalues below the lowest Landau level
Soeren Fournais, Ayman Kachmar
For the magnetic Laplacian on a bounded planar domain, imposing Neumann boundary conditions produces eigenvalues below the lowest Landau level. If the domain has two boundary compo…
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
Soeren Fournais, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to the asymptotic analysis of the optimal Sobolev constants in the semiclassical limit and in any dimension. We combine semiclassical arguments and concentrat…
Optimal magnetic Sobolev constants in the semiclassical limit
Soeren Fournais, Nicolas Raymond
This paper is devoted to the semiclassical analysis of the best constants in the magnetic Sobolev embeddings in the case of a bounded domain of the plane carrying Dirichlet conditi…
Superconductivity in domains with corners
V. Bonnaillie-Noël, S. Fournais
We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superco…