Stochastic homogenization of degenerate integral functionals with linear growth
Abstract
We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands satisfy degenerate linear growth conditions. These involve suitable random, scale-dependent weight-functions. Under minimal assumptions on the integrand and on the weight-functions, we show that the sequence of functionals homogenizes to a non-degenerate functional defined on BV.
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