Compactness for a class of integral functionals with interacting local and non-local terms
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.
Preprint SISSA 21/2022/MATE