On the total disconnectedness of the quotient Aubry set

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dc.creatorSorrentino, Alfonso
dc.date2007-04-02
dc.date.accessioned2026-07-07T07:54:21Z
dc.date.available2026-07-07T07:54:21Z
dc.descriptionIn 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.
dc.description21 pages, accepted for publication in Ergodic Theory Dynam. Systems
dc.identifierhttps://arxiv.org/abs/0704.0129
dc.identifierhttp://arxiv.org/abs/0704.0129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126576
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject37J50; 49L25; 58K05
dc.titleOn the total disconnectedness of the quotient Aubry set
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