57 citations · 475 across the 30 of their papers we have counts for
3 papers · 1 filter
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We investigate the ground states for the focusing, subcritical nonlinear Schrödinger equation with a point defect in dimension two, defined as the minimizers of the energy function…
Complete ionization for a non-autonomous point interaction model in d = 2
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
We consider the two dimensional Schrödinger equation with time dependent delta potential, which represents a model for the dynamics of a quantum particle subject to a point interac…
Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover
Simone Dovetta, Lorenzo Tentarelli
We discuss the model robustness of the infinite two-dimensional square grid with respect to symmetry breakings due to the presence of defects, that is, lacks of finitely or infinit…