An epiperimetric inequality approach to the regularity of the free boundary in the thin and fractional obstacle problems
- Arshak Petrosyan
Abstract
We will discuss generalizations of Weiss's homogeneity improvement approach to the thin and fractional obstacle problems. The main ingredients are an epiperimetric inequality and a monotonicity formula, which give a powerful combination in the analysis of free boundaries and establish the
Based on joint works with Nicola Garofalo, Camelia Pop, and Mariana Smit Vega Garcia.