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math.AP2025
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…
math.AP2025
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…
math.AP2024
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 nonlinearit…