On the total disconnectedness of the quotient Aubry set
Dynamical Systems
2007-05-23 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper we show that the quotient Aubry set associated to certain Lagrangians is totally disconnected (i.e., every connected component consists of a single point). Moreover, we discuss the relation between this problem and a Morse-Sard type property for (difference of) critical subsolutions of Hamilton-Jacobi equations.
Keywords
Cite
@article{arxiv.0704.0129,
title = {On the total disconnectedness of the quotient Aubry set},
author = {Alfonso Sorrentino},
journal= {arXiv preprint arXiv:0704.0129},
year = {2007}
}
Comments
21 pages, accepted for publication in Ergodic Theory Dynam. Systems