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Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2004

Homogenization of L-infinity functionals

Ariela Briani
Adriana Garroni
  • Function : Author
Francesca Prinari
  • Function : Author

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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Dates and versions

hal-00975266 , version 1 (08-04-2014)

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  • HAL Id : hal-00975266 , version 1

Cite

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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