We prove a compactness result with respect to G-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 G-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.

Compactness for a class of integral functionals with interacting local and non-local terms / Braides, A; Dal Maso, G. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 62:5(2023). [10.1007/s00526-023-02491-w]

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

Braides, A
;
Dal Maso, G
2023-01-01

Abstract

We prove a compactness result with respect to G-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 G-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.
2023
62
5
148
https://arxiv.org/abs/2212.11703
Braides, A; Dal Maso, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/135813
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