265 citations · 815 across the 42 of their papers we have counts for
4 papers · 1 filter
On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N
Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti +1
We study an eigenvalue problem for functions in R^N and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of th…
Periodic orbits of a one dimensional non autonomous Hamiltonian system
Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti
In this paper we study the properties of the periodic orbits of x + V'_x(t, x) = 0 with x \in S1 and V(t, x) a T0 periodic potential. Called ρ \in (1/T0)Q the frequency of windings…
On translation invariant constrained minimization problems with application to Schrödinger-Poisson equation
Jacopo Bellazzini, Gaetano Siciliano
In this paper we study the existence of minimizers for a class of constrained minimization problems that are invariant under translations. We call …
Stable standing waves for a class of nonlinear Schroedinger-Poisson equations
Jacopo Bellazzini, Gaetano Siciliano
We prove the existence of orbitally stable standing waves with prescribed -norm for the following Schrödinger-Poisson type equation \label{intro} %{%{ll} iψ_{t}+ Δψ- (|x|^{-1}…