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math.DG2010★ 2 cited
Ilmanen's Lemma on Insertion of C Functions
Albert Fathi, Maxime Zavidovique
We give a proof of Ilmanen's lemma, which asserts that between a locally semi-convex and a locally semi-concave function it is possible to find a C function.
math.DS2010
Existence of critical subsolutions in discrete weak KAM theory
Maxime Zavidovique
In this article, following a first work of the author, we study critical subsolutions in discrete weak KAM theory. In particular, we establish that if the cost function $c:M \times…