265 citations · 815 across the 42 of their papers we have counts for
6 papers · 1 filter
Symmetry breaking for Schrödinger-Poisson-Slater energy
Jacopo Bellazzini, Marco Ghimenti
We study the asymptotic behavior of ground state energy for Schrödinger-Poisson-Slater energy functional. We show that ground state energy restricted to radially symmetric function…
Existence of ground states for negative ions at the binding threshold
Jacopo Bellazzini, Rupert L. Frank, Elliott H. Lieb +1
As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition at some critical Z_c. We investigate whether the electrons remain boun…
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…
Max-Min characterization of the mountain pass energy level for a class of variational problems
Jacopo Bellazzini, Nicola Visciglia
We provide a max-min characterization of the mountain pass energy level for a family of variational problems. As a consequence we deduce the mountain pass structure of solutions to…
Nonlinear Schrödinger equations with strongly singular potentials
Jacopo Bellazzini, Claudio Bonanno
In this paper we look for standing waves for nonlinear Schrödinger equations with cylindrically sym…
On the orbital stability for a class of nonautonomous NLS
J. Bellazzini, N. Visciglia
Following the original approach introduced by T. Cazenave and P.L. Lions in \cite{CaLi} we prove the existence and the orbital stability of standing waves for the following class o…