Geodesic
Regularization of Subsolutions in Discrete Weak KAM Theory
Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 740-756

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DOI

We expose different methods of regularizations of subsolutions in the context of discrete weak $\text{KAM}$ theory that allow us to prove the existence and the density of ${{C}^{1,1}}$ subsolutions. Moreover, these subsolutions can be made strict and smooth outside of the Aubry set.
DOI : 10.4153/CJM-2012-059-3
Mots-clés : 49C15, discrete subsolutions, regularity 
Bernard, Patrick; Zavidovique, Maxime. Regularization of Subsolutions in Discrete Weak KAM Theory. Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 740-756. doi: 10.4153/CJM-2012-059-3
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     title = {Regularization of {Subsolutions} in {Discrete} {Weak} {KAM} {Theory}},
     journal = {Canadian journal of mathematics},
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     year = {2013},
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