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.
Braides, A., Dal Maso, G. (2023). Compactness for a class of integral functionals with interacting local and non-local terms. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 62(5) [10.1007/s00526-023-02491-w].
Compactness for a class of integral functionals with interacting local and non-local terms
Andrea Braides
;
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 in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
B-DM2023_CVPD.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
466.46 kB
Formato
Adobe PDF
|
466.46 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
