265 citations · 815 across the 42 of their papers we have counts for
3 papers · 1 filter
Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
Jacopo Bellazzini, Rupert L. Frank, Nicola Visciglia
In this paper we study the existence of maximizers for two families of interpolation inequalities, namely a generalized Gagliardo-Nirenberg inequality and a new inequality involvin…
Multi-solitary waves for the nonlinear Klein-Gordon equation
Jacopo Bellazzini, Marco Ghimenti, Stefan Le Coz
We consider the nonlinear Klein-Gordon equation in . We call multi-solitary waves a solution behaving at large time as a sum of boosted standing waves. Our main result is the…
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…