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Stochastic homogenization of degenerate integral functionals with linear growth (2210.14829v1)
Published 26 Oct 2022 in math.AP and math.PR
Abstract: We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on $W{1,1}$, 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 $BV$.