In works in collaboration with Jonathan Di Cosmo on one side and with Søren Fournais, Loïc Le Treust and Nicolas Raymond on the other side, we have studied the semiclassical limit for the stationary magnetic nonlinear Schrödinger equation and for the magnetic Sobolev constants in the strong magnetic field régime, où where the magnetic field does not vanish asymptotically in rescaling of the semiclassical limit.
With Denis Bonheure and Manon Nys, we have proved the symmetry and the asymptotic gaussian decay of groundstates of the magnetic nonlinear Schrödinger equation under a weak constant magnetic field and in the absence of electric field.