64 citations · 377 across the 31 of their papers we have counts for
3 papers · 2 filters
Bifurcating standing waves for effective equations in gapped honeycomb structures
William Borrelli, Raffaele Carlone
In this paper we deal with two dimensional cubic Dirac equations appearing as effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schröd…
Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity
Nabile Boussaid, Claudio Cacciapuoti, Raffaele Carlone +3
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and present a detailed study of the spectrum of linearization at solitary waves. We…
Stability of the standing waves of the concentrated NLSE in dimension two
Riccardo Adami, Raffaele Carlone, Michele Correggi +1
In this paper we will continue the analysis of two dimensional Schrödinger equation with a fixed, pointwise, nonlinearity started in [2, 13]. In this model, the occurrence of a blo…