22 citations · 30 across the 3 of their papers we have counts for
4 papers
Time dependent mean-field games in the subquadratic case
Diogo A. Gomes, Edgard Pimentel, Héctor Sánchez-Morgado
In this paper we consider time-dependent mean-field games with subquadratic Hamiltonians and power-like local dependence on the measure. We establish existence of classical solutio…
Busseman functions for the N-body problem
Boris Percino, Héctor Sánchez Morgado
We prove that the Busemann function of the parabolic homotetic motion for a minimal central coniguration of the N-body problem is a viscosity solution of the Hamilton-Jacobi equati…
Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians
Gonzalo Contreras, Renato Iturriaga, Hector Sanchez-Morgado
In this work we prove the existence of Fathi's weak KAM solutions for periodic Lagrangians and give a construction of all of them.
A minimax selector for a class of hamiltonians on cotangent bundles
R. Iturriaga, H. Sanchez-Morgado
We construct a minimax selector for eventually quadratic hamiltonians on cotangent bundles. We use it to give a relation between Hofer's energy and Mather's action minimizing funct…