21 citations · 51 across the 16 of their papers we have counts for
18 papers
Long time strong Sobolev instability for quasilinear NLS
Yuri Cacchiò, Filippo Giuliani, Felice Iandoli +1
We prove long-time strong Sobolev instability for a class of quasilinear Schrödinger equations on arising, via the Madelung transform, in the description of Euler-Kor…
On Fermi's model for the scattering of a slow neutron from a bound proton
Domenico Finco, Raffaele Scandone, Alessandro Teta
We consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interacti…
Point interactions and singular solutions to semilinear elliptic equations
Filippo Boni, Diego Noja, Raffaele Scandone
We investigate the connection between semilinear elliptic PDEs with isolated singularities and stationary nonlinear Schrödinger equations with point interactions. In dimensions $d=…
Approximation of Schrödinger operators with point interactions on bounded domains
Diego Noja, Raffaele Scandone
We consider Schrödinger operators on a bounded domain , with homogeneous Robin or Dirichlet boundary conditions on and a point (zero-range) inter…
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori
Filippo Giuliani, Raffaele Scandone
In this paper we prove the existence of solutions to the quantum Euler equations on , , with almost constant mass density, displaying energy transfers t…
A proof of the union-closed sets conjecture
Raffaele Scandone
We provide a proof of the union-closed sets conjecture, by means of a suitable refinement of the breakthrough entropy-approach introduced by Gilmer. The novelty here is to consider…