An epiperimetric inequality for the lower dimensional obstacle problem
Analysis of PDEs
2017-09-05 v1
Abstract
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), no. 1, 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. Differential Equations 21 (2015), no 1-2, 153-200.) which uses an homogeneity approach and a {\Gamma}-convergence analysis.
Keywords
Cite
@article{arxiv.1709.00996,
title = {An epiperimetric inequality for the lower dimensional obstacle problem},
author = {Francesco Geraci},
journal= {arXiv preprint arXiv:1709.00996},
year = {2017}
}