An epiperimetric inequality for the lower dimensional obstacle problem
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 39.

In this paper we give a proof of an epiperimetric inequality in the setting of the lower dimensional obstacle problem. The inequality was introduced by Weiss [Invent. Math. 138 (1999) 23–50) for the classical obstacle problem and has striking consequences concerning the regularity of the free-boundary. Our proof follows the approach of Focardi and Spadaro [Adv. Differ. Equ. 21 (2015) 153–200] which uses an homogeneity approach and a Γ-convergence analysis.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2018024
Classification : 35R35
Mots-clés : Epiperimetric inequality, lower dimensional obstacle problem, free-boundary, Γ-convergence
Geraci, Francesco 1

1 
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Geraci, Francesco. An epiperimetric inequality for the lower dimensional obstacle problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 39. doi : 10.1051/cocv/2018024. http://www.numdam.org/articles/10.1051/cocv/2018024/

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