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research article
Stochastic homogenization of degenerate integral functionals with linear growth
April 21, 2023
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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s00526-023-02476-9.pdf
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openaccess
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CC BY
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