3 citations · 6 across the 4 of their papers we have counts for
4 papers
Discrete spectrum of the magnetic Laplacian on perturbed half-planes
Virginie Bonnaillie-Noël, Søren Fournais, Ayman Kachmar +1
The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer…
Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…
Optimal partitions for the sum and the maximum of eigenvalues
Beniamin Bogosel, Virginie Bonnaillie-Noël
In this paper we compare the candidates to be spectral minimal partitions for two criteria: the maximum and the average of the first eigenvalue on each subdomains of the partition.…
Interactions between moderately close inclusions for the 2D Dirichlet-Laplacian
Virginie Bonnaillie-Noël, Marc Dambrine, Christophe Lacave
This paper concerns the asymptotic expansion of the solution of the Dirichlet-Laplace problem in a domain with small inclusions. This problem is well understood for the Neumann con…