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20002025
most citedExistence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

265 citations · 815 across the 42 of their papers we have counts for

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Showing 2020 · math.APShow all

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math.AP2020★ 1 cited

Ground state energy threshold and blow-up for NLS with competing nonlinearities

Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev

We consider the nonlinear Schrödinger equation with combined nonlinearities, where the leading term is an intracritical focusing power-type nonlinearity, and the perturbation is gi…

math.AP2020★ 12 cited

Dynamical collapse of cylindrical symmetric Dipolar Bose-Einstein condensates

Jacopo Bellazzini, Luigi Forcella

We study the formation of singularities for cylindrical symmetric solutions to the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate. We prove that solutions…