Mathematics – Dynamical Systems
Scientific paper
2007-04-02
Mathematics
Dynamical Systems
21 pages, accepted for publication in Ergodic Theory Dynam. Systems
Scientific paper
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.
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