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arXiv · 2210.14829

Stochastic homogenization of degenerate integral functionals with linear growth

Matthias Ruf·Caterina Ida Zeppieri
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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 $BV$.

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Matthias Ruf, Caterina Ida Zeppieri. 2022-10-26. Stochastic homogenization of degenerate integral functionals with linear growth. https://arxiv.org/abs/2210.14829

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