Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

F. Geraci

The Classical Obstacle problem with coefficients in fractional Sobolev spaces

created by geraci on 16 May 2016
modified on 02 Sep 2017


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


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.


Credits | Cookie policy | HTML 5 | CSS 2.1