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.
Mon, 01 Mar 2004
17:00
L1

Elliptic systems, integral functionals and singular sets

Guiseppe Mingione
(Parma)
Abstract
I shall give a brief overview of the partial regularity results for minima

of integral functionals and solutions to elliptic systems, concentrating my

attention on possible estimates for the Hausdorff dimension of the singular

sets; I shall also include more general variational objects called almost

minimizers or omega-minima. Open questions will be discussed at the end.

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