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.| File | Dimensione | Formato | |
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