216 citations · 380 across the 52 of their papers we have counts for
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math-ph2008
The Nonlinear Schroedinger equation: solitons dynamics
V. Benci, M. Ghimenti, A. M. Micheletti
In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soli…
math-ph2008
An elementary approach to Stochastic Differential Equations using the infinitesimals
Vieri Benci, Stefano Galatolo, Marco Ghimenti
The aim of this paper is to evidence two points relative to Nonstandard analysis (NSA): 1. In most applications of NSA to analysis, only elementary facts and techniques of nonstand…
math-ph2008
Properties of the periodic Hartree-Fock minimizer
Marco Ghimenti, Mathieu Lewin
We study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto, Le Bris and Lions (Ann. Ins…