Universita' degli studi di Padova | Mathematical Institute

Obstacle problems of Signorini type, and for non-local operators

Nicola Garofalo

(Universita' degli studi di Padova)

Abstract

In this talk I will overview what is presently known about various types of obstacle problems. The focus will be on elliptic and parabolic problems of Signorini type, and on problems for non-local operators. I will discuss the role of monotonicity formulas in such problems, as well as (in the time-independent case) of some new epiperimetric inequalities.