Epiperimetric inequalities in free-boundary problems

19 December 2017
December 19, 2017
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari "-1"
Ore: 11.30

Relatore:

  • Luca Spolaor

Abstract:

In this talk I will describe some applications of the epiperimetric inequality to prove the regularity of the free-boundary for the obstacle, thin-obstacle and Alt-Caffarelli functionals. I will focus in particular on this last problem, and show how the Lojasievicz inequality allows to prove a logarithmic epiperimetric inequality by using the index of the trace of an homogeneous minimizer to construct a good competitor.  
This is joint work with Bozhidar Velichkov, Maria Colombo and Max Engelstein.

Referente: Raul Paolo Serapioni