This research extends Γ-limits for cohesive functionals in vector-valued settings, indicating new approaches to homogenization problems.
The results on Γ-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Γ-limit, which is then used to study deterministic and stochastic homogenization problems for this type of functional.
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Leoni et al. (2025) studied this question.
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