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math.AP2022
Weak KAM theory for subriemannian Lagrangians
Hector Sanchez Morgado
We extend weak KAM theory to Lagrangians that are defined only on the horizontal distribution of a sub-Riemannian manifold. The main tool is Tonelli's theorem which allows dispendi…
math.AP2016★ 1 cited
Singular mean-filed games
Marco Cirant, Diogo A. Gomes, Edgard A. Pimentel +1
Here, we prove the existence of smooth solutions for mean-field games with a singular mean-field coupling; that is, a coupling in the Hamilton-Jacobi equation of the form $g(m)=-m^…