On the Conley decomposition of Mather sets
Rev. Mat. Iberoamericana, Tome 26 (2010) no. 1, p. 115-132 / Harvested from Project Euclid
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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.
Publié le : 2010-03-15
Classification:  semi-continuity of the Aubry set,  minimizing measures,  chain transitivity,  37J50,  37B20,  49L25 
@article{1266330119,
     author = {Bernard
, 
Patrick},
     title = {On the Conley decomposition of Mather sets},
     journal = {Rev. Mat. Iberoamericana},
     volume = {26},
     number = {1},
     year = {2010},
     pages = { 115-132},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1266330119}
}

Bernard
, 
Patrick. On the Conley decomposition of Mather sets. Rev. Mat. Iberoamericana, Tome 26 (2010) no. 1, pp.  115-132. http://gdmltest.u-ga.fr/item/1266330119/