Calculus of Variations and Geometric Measure Theory
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M. Focardi - E. Spadaro

An epiperimetric inequality for the thin obstacle problem

created by focardi on 26 Feb 2015
modified on 03 Oct 2015


Accepted Paper

Inserted: 26 feb 2015
Last Updated: 3 oct 2015

Journal: Advances in Differential Equations
Year: 2015


We prove an epiperimetric inequality for the thin obstacle problem, thus extending the pioneering results by Weiss on the classical obstacle problem (Invent. Math., 138 (1999), no. 1, 23-50). This inequality provides the means to study the rate of converge of the rescaled solutions to their limits, as well as the regularity properties of the free boundary.


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