Rendiconti del Seminario Matematico della Università di Padova

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Volume 124, 2010, pp. 203–219
DOI: 10.4171/RSMUP/124-14

Ilmanen's Lemma on Insertion of $\mathbb C^{1,1} Functions

Alberto Fathi[1] and Maxime Zavidovique[2]

(1) Université de Lyon, France
(2) Université de Lyon, France

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 $\mathbb C^{1,1}$ function.

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Fathi Alberto, Zavidovique Maxime: Ilmanen's Lemma on Insertion of $\mathbb C^{1,1} Functions. Rend. Sem. Mat. Univ. Padova 124 (2010), 203-219. doi: 10.4171/RSMUP/124-14