On the logarithmic epiperimetric inequality for the obstacle problem

We give three different proofs of the log-epiperimetric inequality at singular points for the obstacle problem. In the first, direct proof, we write the competitor explicitly; the second proof is also constructive, but this time the competitor is given through the solution of an evolution problem on...

Full description

Bibliographic Details
Main Authors: Luca Spolaor, Bozhidar Velichkov
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2021004/fulltext.html