265 citations · 815 across the 42 of their papers we have counts for
42 papers
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…
A Logarithmic Uncertainty Principle for Functions with Radial Symmetry
Jacopo Bellazzini, Matteo Nesi
In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove…
A note on the fractional Hardy inequality
Matteo Aldovardi, Jacopo Bellazzini
We give a direct proof of fractional Hardy inequality by means of Littlewood-Paley decomposition and properties of singular homogeneous kernels of degree -. A refinement when $q…
Scattering for non-radial 3D NLS with combined nonlinearities: the interaction Morawetz approach
Jacopo Bellazzini, Van Duong Dinh, Luigi Forcella
We give a new proof of the scattering below the ground state energy level for a class of nonlinear Schrödinger equations (NLS) with mass-energy intercritical competing nonlineariti…
Compact embeddings for fractional super and sub harmonic functions with radial symmetry
Jacopo Bellazzini, Vladimir Georgiev
We prove compactness of the embeddings in Sobolev spaces for fractional super and sub harmonic functions with radial symmetry. The main tool is a pointwise decay for radially symme…