21 citations · 51 across the 9 of their papers we have counts for
3 papers · 2 filters
Nodal domains in the square---the Neumann case
Bernard Helffer, Mikael Persson Sundqvist
Å Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant sharp situation) can only be true fo…
Clusters of eigenvalues for the magnetic Laplacian with Robin condition
Magnus Goffeng, Ayman Kachmar, Mikael Persson Sundqvist
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in euclidean space. Functions in the domain of the operator are subject to a bo…
Lack of diamagnetism and the Little-Parks effect
Søren Fournais, Mikael Persson Sundqvist
When a superconducting sample is submitted to a sufficiently strong external magnetic field, the superconductivity of the material is lost. In this paper we prove that this effect…