We study, via Gamma convergence, the homogenization in L-infinity of supremal functionals of the form $$F_{\epsilon} (u) = ess sup_A f( \frac{x }{ \epsilon}, Du). $$ We prove the homogenized problem is still a supremal and its energy density is given by a cell problem formula.
Homogenization of L-infinity functionals
PRINARI, Francesca Agnese
2004
Abstract
We study, via Gamma convergence, the homogenization in L-infinity of supremal functionals of the form $$F_{\epsilon} (u) = ess sup_A f( \frac{x }{ \epsilon}, Du). $$ We prove the homogenized problem is still a supremal and its energy density is given by a cell problem formula.File in questo prodotto:
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