64 citations · 377 across the 31 of their papers we have counts for
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math.AP2018★ 21 cited
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…
math.AP2018★ 27 cited
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.…