Thu, 15 Jan 2015
12:00 -
13:00
L3
Regularity for double phase variational integrals
Giuseppe Mingione
(Parma)
Abstract
Those mentioned in the title are integral functionals of the Calculus of Variations characterized by the fact of having an integrand switching between two different kinds of degeneracies, dictated by a modulating coefficient. They have introduced by Zhikov in the context of Homogenization and to give new examples of the related Lavrentiev phenomenon. In this talk I will present some recent results aimed at drawing a complete regularity theory for minima.