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

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2022-12-20
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Abstract
We prove a compactness result with respect to 􀀀-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 􀀀-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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Preprint SISSA 21/2022/MATE
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