Published Paper
Inserted: 26 feb 2015
Last Updated: 17 dec 2018
Journal: Advances in Differential Equations
Volume: 21
Number: 1-2
Pages: 153--200
Year: 2016
Abstract:
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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