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
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