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1. CJM 2013 (vol 65 pp. 740)

Bernard, P.; Zavidovique, M.
Regularization of Subsolutions in Discrete Weak KAM Theory
We expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory. They allow 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.

Keywords:discrete subsolutions, regularity

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