Publication

Stochastic homogenization of degenerate integral functionals with linear growth

Matthias Benjamin Ruf
2023
Journal Articles

Abstract

We study the limit behaviour of sequences of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands are ergodic and satisfy degenerate linear growth conditions. The latter 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 deterministic functional defined on BV.

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Stochastic homogenization of degenerate integral functionals with linear growth

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