Braides, AndreaDal Maso, Gianni2022-12-292022-12-292022-12-20https://openscience.sissa.it/handle/1963/35454Preprint SISSA 21/2022/MATEWe 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.enPreprint