265 citations · 815 across the 42 of their papers we have counts for
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math.AP2010★ 2 cited
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…
math.AP2010
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 …
math.AP2010★ 100 cited
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}…