15 citations · 47 across the 19 of their papers we have counts for
21 papers
Three wave interaction solitons for an energy critical Schrödinger system
Luigi Forcella, Xiao Luo, Xiaolong Yang
We investigate standing waves for the energy critical Schrödinger system with three waves interaction arising as a model for the Raman amplification in a plasma. Several results ar…
NLS with mass-subcritical combined nonlinearities: small mass -scattering
Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev
We prove small data scattering in the mass-subcritical regime for the NLS equation with double nonlinearities, where a focusing leading term is perturbed by a lower order defocusin…
Mass-subcritical Half-Wave Equation with mixed nonlinearities: existence and non-existence of ground states
Jacopo Bellazzini, Luigi Forcella
We consider the problem of existence of constrained minimizers for the focusing mass-subcritical Half-Wave equation with a defocusing mass-subcritical perturbation. We show the exi…
Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction
Luigi Forcella, Vladimir Georgiev
We consider the two-dimensional nonlinear Schrödinger equation with point interaction and we establish a local well-posedness theory, including blow-up alternative and continuous d…
Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on
Luigi Forcella, Yongming Luo, Zehua Zhao
We investigate the long time dynamics of the nonlinear Schrödinger equation (NLS) with combined powers on the waveguide manifold . Different from the…
Invariant Gibbs dynamics for two-dimensional fractional wave equations in negative Sobolev spaces
Luigi Forcella, Oana Pocovnicu
We consider a fractional nonlinear wave equations (fNLW) with a general power-type nonlinearity, on the two-dimensional torus. Our main goal is to construct invariant global-in-tim…