Published Paper (on line)

Inserted: 22 dec 2022
Last Updated: 12 may 2023

Journal: Calc. Var. Partial Differential Equations
Year: 2023
Doi: 10.1007/s00526-023-02491-w

Abstract:

We prove a compactness result with respect to Γ-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 Γ-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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• Non-local functionals