Geodesic
A Variational Approach to the Study of the Existence of Invariant Lagrangian Graphs
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 2, pp. 405-440
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This paper surveys some recent results by the author and some collaborators, on the existence of invariant Lagrangian graphs for Tonelli Hamiltonian systems. 
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     author = {Sorrentino, Alfonso},
     title = {A {Variational} {Approach} to the {Study} of the {Existence} of {Invariant} {Lagrangian} {Graphs}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {405--440},
     year = {2013},
     volume = {Ser. 9, 6},
     number = {2},
     zbl = {1305.37032},
     mrnumber = {3112987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_2_a8/}
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Sorrentino, Alfonso. A Variational Approach to the Study of the Existence of Invariant Lagrangian Graphs. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 2, pp. 405-440. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_2_a8/