64 citations · 377 across the 31 of their papers we have counts for
4 papers · 1 filter
Blow-up for the pointwise NLS in dimension two: absence of critical power
Riccardo Adami, Raffaele Carlone, Michele Correggi +1
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity and show the occurrence of a blow-up phenomenon with two peculiar features: fir…
Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
In this paper we study the nonlinear Dirac (NLD) equation on noncompact metric graphs with localized Kerr nonlinearities, in the case of Kirchhoff-type conditions at the vertices.…
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Raffaele Carlone, Domenico Finco, Lorenzo Tentarelli
The paper discusses nonlinear singular perturbations of delta type of the fractional Schrödinger equation , with …
An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
R Carlone, M Correggi, L Tentarelli
We present an introduction to the nonlinear Schrödinger equation (NLSE) with concentrated nonlinearities in . Precisely, taking a cue from the linear problem, we sket…