Stochastic homogenization for an integral functional of a quasiconvex function with linear growth
Y. Abddaimi, Gérard Michaille, Christian Licht · Asymptotic Analysis · 1997
We establish the epiconvergence (or Γ-convergence) for the strong topology of L 1 (O,R N ) of a sequence of random integral functionals ∫ O f(ω)(x/ε,∇u(x)) dx defined in the space W 1,1 (O,R N ). Our method uses an improvement of a convergence result concerning subadditive processes and a recent technique of blow-up combined with the rank one property of the singular measure D s u.