Ezequiel Maderna

most citedWeak KAM theorem on non compact manifolds

112 citations · 133 across the 3 of their papers we have counts for

collaborators

3 papers

math.SG2015

Invariance of global solutions of the Hamilton-Jacobi equation

Ezequiel Maderna

We show that every global viscosity solution of the Hamilton-Jacobi equation associated with a convex and superlinear Hamiltonian on the cotangent bundle of a closed manifold is ne…

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…