216 citations · 380 across the 52 of their papers we have counts for
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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…
Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems
Marco Ghimenti, Anna Maria Micheletti
We show that the number of solutions of Schroedinger Maxwell system on a smooth bounded domain in R^3 depends on the topological properties of the domain. In particular we consider…
Number and profile of low energy solutions for singularly perturbed Klein Gordon Maxwell systems on a Riemannian manifold
Marco Ghimenti, Anna Maria Micheletti
Given a 3-dimensional Riemannian manifold (M,g), we investigate the existence of positive solutions of the nonlinear Klein-Gordon-Maxwell system and nonlinear Schroedinger-Maxwell…
The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
Given a 3-dimensional Riemannian manifold (M,g), we investigate the existence of positive solutions of singularly perturbed Klein-Gordon-Maxwell systems and Schroedinger-Maxwell sy…
On the Dynamics of solitons in the nonlinear Schroedinger equation
Vieri Benci, Marco Ghimenti, Anna Maria Micheletti
We study the behavior of the soliton solutions of the equation i((\partialψ)/(\partialt))=-(1/(2m))Δψ+(1/2)W_{ε}'(ψ)+V(x)ψ where W_{ε}' is a suitable nonlinear term which is singul…
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…