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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 6, Pages 646–651
DOI: https://doi.org/10.1134/S1560354710510155 (Mi rcd523) 		 
Two remarks about Mañé's conjecture

D. Massart

Département de Mathématiques, Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex, France
DOI: https://doi.org/10.1134/S1560354710510155
Abstract: We consider Mañé's conjectures and prove that the one he made in [1] is stronger than the one he made in [2]. Then we prove that the most straightforward approach to prove the strong conjecture doesn’t work in the $C^4$ topology.
Keywords: Lagrangian dynamics, minimizing measures.
Received: 28.12.2009
Accepted: 23.02.2010
Bibliographic databases:
Document Type: Article
MSC: 37J50, 70H20, 35F20, 49Q20
Language: English
Citation: D. Massart, “Two remarks about Mañé's conjecture”, Regul. Chaotic Dyn., 15:6 (2010), 646–651
Citation in format AMSBIB
\Bibitem{Mas10}
\by D. Massart
\paper Two remarks about Mañé's conjecture
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 6
\pages 646--651
\mathnet{http://mi.mathnet.ru/rcd523}
\crossref{https://doi.org/10.1134/S1560354710510155}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2747174}
\zmath{https://zbmath.org/?q=an:1209.37068}
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