Accepted Paper

Inserted: 16 may 2016
Last Updated: 2 sep 2017

Journal: Annali di Matematica Pura ed Applicata
Year: 2017
Doi: DOI: 10.1007/s10231-017-0692-x

Abstract:

We prove quasi-monotonicity formulae for classical obstacle-type problems with quadratic energies with coefficients in fractional Sobolev spaces, and a linear term with a Dini-type continuity property. These formulae are used to obtain the regularity of free-boundary points following the approaches by Caffarelli, Monneau and Weiss.

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