JournalsrsmupVol. 124pp. 203–219

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

  • Alberto Fathi

    Université de Lyon, France
  • Maxime Zavidovique

    Université de Lyon, France
Ilmanen's Lemma on Insertion of $\mathbb C^{1,1} Functions cover
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Abstract

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 C1,1\mathbb C^{1,1} function.

Cite this article

Alberto Fathi, Maxime Zavidovique, Ilmanen's Lemma on Insertion of $\mathbb C^{1,1} Functions. Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 203–219

DOI 10.4171/RSMUP/124-14