Compactness for a class of integral functionals with interacting local and non-local terms
Analysis of PDEs
2022-12-23 v1 Functional Analysis
Optimization and Control
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.
Cite
@article{arxiv.2212.11703,
title = {Compactness for a class of integral functionals with interacting local and non-local terms},
author = {Andrea Braides and Gianni Dal Maso},
journal= {arXiv preprint arXiv:2212.11703},
year = {2022}
}