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arXiv · 0704.0129

On the total disconnectedness of the quotient Aubry set

Alfonso Sorrentino
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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.

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Alfonso Sorrentino. 2007-04-02. On the total disconnectedness of the quotient Aubry set. https://arxiv.org/abs/0704.0129

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