Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Minimax Theory and its Applications 03 (2018), No. 2, 313--322
Copyright Heldermann Verlag 2018

Time-Periodic Evans Approach to Weak KAM Theory

Héctor Sánchez Morgado
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Cd. de México 04510, México

We study the time-periodic version of Evans approach to weak KAM theory. Evans minimization problem is equivalent to a first order mean field game system. For the mechanical Hamiltonian we prove the existence of smooth solutions. We introduce the corresponding effective Lagrangian and Hamiltonian and prove that they are smooth. We also consider the limiting behavior of the effective Lagrangian and Hamiltonian, Mather measures and minimizers.

Keywords: Time-periodic weak KAM solution, effective Lagrangian and Hamiltonian, mean field game approximation.

MSC: 49L99, 37J50, 35J62.

[ Fulltext-pdf  (110  KB)] for subscribers only.