Regularity for double phase variational integrals

15 January 2015
Giuseppe Mingione
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.
  • PDE CDT Lunchtime Seminar