Aubry sets vs. Mather sets in two degrees of freedom

Massart, Daniel
November 2011
Calculus of Variations & Partial Differential Equations;Nov2011, Vol. 42 Issue 3/4, p429
Academic Journal
Let L be an autonomous Tonelli Lagrangian on a closed manifold of dimension two. We prove that for a large set of cohomology classes, the Aubry set consists of periodic orbits.


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