Homogenization of L-infinity functionals

Ariela Briani, Adriana Garroni and Francesca Prinari

2004

Publication type:

Paper in peer-reviewed journals

Journal:

Mathematical Models and Methods in Applied Sciences, vol. 14(12), pp. 1761-1784

HAL:

hal-00975266

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},
}