On the Conley decomposition of Mather sets
Patrick
Bernard
Source: Rev. Mat. Iberoamericana Volume 26, Number 1
(2010), 115-132.
Abstract
In the context of Mather's theory of Lagrangian systems, we study the decomposition in chain-transitive classes of the Mather invariant sets. As an application, we prove, under appropriate hypotheses, the semi-continuity of the so-called Aubry set as a function of the Lagrangian.
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Permanent link to this document: http://projecteuclid.org/euclid.rmi/1266330119
Zentralblatt MATH identifier: 05708817
Mathematical Reviews number (MathSciNet): MR2666310
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