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arXiv · 2212.11703

Compactness for a class of integral functionals with interacting local and non-local terms

Andrea Braides·Gianni Dal Maso
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Abstract

We prove a compactness result with respect to $\Gamma$-convergence for a class of integral functionals which are expressed as a sum of a local and a non-local term. The main feature is that, under our hypotheses, the local part of the $\Gamma$-limit depends on the interaction between the local and non-local terms of the converging subsequence. The result is applied to concentration and homogenization problems.

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Andrea Braides, Gianni Dal Maso. 2022-12-22. Compactness for a class of integral functionals with interacting local and non-local terms. https://arxiv.org/abs/2212.11703

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