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Homogenization of L-infinity functionals

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.
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Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Tuesday, April 8, 2014 - 12:10:03 PM
Last modification on : Wednesday, August 24, 2022 - 8:48:30 AM


  • HAL Id : hal-00975266, version 1



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⟩



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