216 citations · 380 across the 52 of their papers we have counts for
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Soliton dynamics for the generalized Choquard equation
Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti +1
We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call {\em generalized Choquar…
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…
Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds
Marco Ghimenti, Anna Maria Micheletti
Let be a compact smooth Riemannian manifold of finite dimension with boundary and is a compact -dimensional submanifold of . We show that f…
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…
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…