Davide Polimeni

activity

20232026

collaborators

4 papers

math.DS2026

Expansive solutions and the boundary at infinity for the homogeneous $N$ -body problem

Diego Berti, Davide Polimeni, Susanna Terracini

We investigate expansive solutions of the $N$ -body problem in $R^{d}$ ( $d \geq 2$ ) driven by homogeneous Newtonian potentials of degree $- α$ . We establish the existence of half…

math.DS2025

Symmetric solutions of the $n$ -body problem: a numerical study of Floquet multipliers and Morse indices

Diego Berti, Gian Marco Canneori, Roberto Ciccarelli +3

In this paper, we consider periodic solutions of the $n$ -body problem that satisfy symmetry constraints, expressed through invariance under finite group actions. We focus on their…

math.DS2025

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem

Diego Berti, Davide Polimeni, Susanna Terracini

We prove that certain suitably renormalized value functions associated with the $d$ -dimensional ( $d \geq 2$ ) $N$ -body problem corresponding to different limiting shapes of expanding…

math.DS2023

On the existence of minimal expansive solutions to the $N$ -body problem

Davide Polimeni, Susanna Terracini

We deal, for the classical $N$ -body problem, with the existence of action minimizing half entire expansive solutions with prescribed asymptotic direction and initial configuration…

Expansive solutions and the boundary at infinity for the homogeneous N-body problem

Symmetric solutions of the n-body problem: a numerical study of Floquet multipliers and Morse indices

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem

On the existence of minimal expansive solutions to the N-body problem

Expansive solutions and the boundary at infinity for the homogeneous $N$ -body problem

Symmetric solutions of the $n$ -body problem: a numerical study of Floquet multipliers and Morse indices

On the existence of minimal expansive solutions to the $N$ -body problem