G. Fusco

activity

20092021

most citedSharp lower bounds for vector Allen-Cahn energy and qualitative properties of minimizes under no symmetry hypotheses

2 citations · 4 across the 5 of their papers we have counts for

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math.DS2018

Existence of periodic orbits near heteroclinic connections

Giorgio Fusco, Giovanni F. Gronchi, Matteo Novaga

We consider a potential $W : R^{m} \to R$ with two different global minima $a_{-}, a_{+}$ and, under a symmetry assumption, we use a variational approach to show that the Hamiltonia…

math.DS2017★ 1 cited

On the existence of connecting orbits for critical values of the energy

Giorgio Fusco, Giovanni F. Gronchi, Matteo Novaga

We consider an open connected set $Ω$ and a smooth potential $U$ which is positive in $Ω$ and vanishes on $\partial Ω$ . We study the existence of orbits of the mechanical system \[…

math.DS2009

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical $N$ -Body Problem

G. Fusco, G. F. Gronchi, P. Negrini

We prove the existence of a number of smooth periodic motions $u_{*}$ of the classical Newtonian $N$ -body problem which, up to a relabeling of the $N$ particles, are invariant under…

Existence of periodic orbits near heteroclinic connections

On the existence of connecting orbits for critical values of the energy

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical N-Body Problem

Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical $N$ -Body Problem