E. Maderna

most citedWeak KAM theorem on non compact manifolds

112 citations · 162 across the 4 of their papers we have counts for

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math.DS2015★ 29 cited

Globally minimizing parabolic motions in the Newtonian N-body problem

Ezequiel Maderna, Andrea Venturelli

We consider the $N$ -body problem in $R^{d}$ with the newtonian potential $1/ r$ . We prove that for every initial configuration $x_{i}$ and for every minimizing normalized centr…

math.DS2015★ 21 cited

On weak KAM theory for N-body problems

Ezequiel Maderna

We consider N-body problems with homogeneous potential $1/ r^{2 κ}$ where $κ \in (0, 1)$ , including the Newtonian case ( $κ = 1/2$ ). Given $R > 0$ and $T > 0$ , we find a uniform upper bound fo…

math.DS2015★ 112 cited

Weak KAM theorem on non compact manifolds

Albert Fathi, Ezequiel Maderna

In this paper, we consider a time independent $C^{2}$ Hamiltonian, sa\-tisfying the usual hypothesis of the classical Calculus of Variations, on a non-compact connected manifold. Usi…