English

Weak KAM theory for subriemannian Lagrangians

Analysis of PDEs 2022-03-22 v2

Abstract

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 dispending on a Lagrangian dynamics.

Keywords

Cite

@article{arxiv.2201.00843,
  title  = {Weak KAM theory for subriemannian Lagrangians},
  author = {Hector Sanchez Morgado},
  journal= {arXiv preprint arXiv:2201.00843},
  year   = {2022}
}
R2 v1 2026-06-24T08:39:04.594Z