Differentiability of Mather's beta function in low dimensions
Dynamical Systems
2012-11-30 v3 Analysis of PDEs
Abstract
Let L be a time-periodic Lagrangian on a two-torus. Then the beta-function of L is differentiable at least in k directions at any k-irrational homology class, for k= 0, 1, 2.
Keywords
Cite
@article{arxiv.0909.3371,
title = {Differentiability of Mather's beta function in low dimensions},
author = {Daniel Massart},
journal= {arXiv preprint arXiv:0909.3371},
year = {2012}
}
Comments
New version which focuses on the two-torus case