Homogenization of L-infinity functionals

Ariela Briani (1) , Adriana Garroni , Francesca Prinari

1 OC - Optimisation et commande

We study, via $\Gamma$ convergence, the homogenization in L-infinity of supremal functionals of the form $$ F\varepsilon (u) =ess sup{A} f( x \varepsilon, Du). $$ We prove the homogenized problem is still a supremal and its energy density is given by a cell problem formula.

Ariela Briani, Adriana Garroni, Francesca Prinari. Homogenization of L-infinity functionals. Mathematical Models and Methods in Applied Sciences, 2004, 14 (12), pp.1761-1784. ⟨hal-00975266⟩