Gaetano Siciliano

On fractional Choquard equations

We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.

Stable standing waves for a class of nonlinear Schrödinger-Poisson equations

AbstractWe prove the existence of orbitally stable standing waves with prescribed L2-norm for the following Schrödinger-Poisson type equation

Neumann condition in the Schrödinger-Maxwell system

i\psi_{t}+ \Delta \psi - (|x|^{-1}*|\psi|^{2}) \psi+|\psi|^{p-2}\psi=0 \quad \rm{in} \quad \mathbb R^{3},

DEFORMING SOLUTIONS OF GEOMETRIC VARIATIONAL PROBLEMS WITH VARYING SYMMETRY GROUPS

when

CONSTRAINED SCHRODINGER-POISSON SYSTEM WITH NON-CONSTANT INTERACTION

{p\in \left\{ \frac{8}{3}\right\}\cup (3,\frac{10}{3})}

On a generalized Kirchhoff equation with sublinear nonlinearities

. In the case