# Homogenization of L-infinity functionals

, and
2004
Publication type:
Paper in peer-reviewed journals
Journal:
Mathematical Models and Methods in Applied Sciences, vol. 14(12), pp. 1761-1784
HAL:
Abstract:
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.
BibTeX:
@article{Bri-Gar-Pri-2004,
author={Ariela Briani and Adriana Garroni and Francesca Prinari },
title={Homogenization of L-infinity functionals },
journal={Mathematical Models and Methods in Applied Sciences },
year={2004 },
volume={14(12) },
pages={1761--1784},
}