103 citations · 425 across the 52 of their papers we have counts for
4 papers · 1 filter
The lack of compactness in the Sobolev-Strichartz inequalities
Luca Fanelli, Nicola Visciglia
We provide a general method to decompose any bounded sequence in into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the a…
On the radiality of constrained minimizers to the Schroedinger-Poisson-Slater energy
Vladimir Georgiev, Francesca Prinari, Nicola Visciglia
We study the radial symmetry of minimizers to the Schroedinger-Poisson-Slater (S-P-S) energy.
Existence of maximizers for Sobolev-Strichartz inequalities
Luca Fanelli, Luis Vega, Nicola Visciglia
We prove the existence of maximizers of Sobolev-Strichartz estimates for a general class of propagators, involving relevant examples, as for instance the wave, Dirac and the hyperb…
Ground states for semi-relativistic Schrödinger-Poisson-Slater energies
Jacopo Bellazzini, Tohru Ozawa, Nicola Visciglia
We prove the existence of ground states for the semi-relativistic Schrödinger-Poisson-Slater energy $$I^{α,β}(ρ)=\inf_{\substack{u\in H^\frac 12(\R^3) \int_{\R^3}|u|^2 dx=ρ}} \frac…