A logarithmic epiperimetric inequality for the obstacle problem

Abstract We study the regularity of the regular and of the singular set of the obstacle problem in any dimension. Our approach is related to the epiperimetric inequality of Weiss (Invent Math 138:23–50, Wei99a), which works at regular points and provides an alternative to the methods...

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Bibliographic Details
Main Authors: Colombo, Maria, Spolaor, Luca, Velichkov, Bozhidar
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131541