Homogenization of periodic multi-dimensional structures
نویسندگان
چکیده
Riassunto. Si studia il comportamento asintotico di una classe di funzionali integrali che possono dipendere da misure concentrate su strutture periodiche multidimensionali, quando tale periodo tende a 0. Il problema viene ambientato in spazi di Sobolev rispetto a misure periodiche. Si dimostra, sotto ipotesi generali, che un appropriato limite può venire definito su uno spazio di Sobolev usuale usando tecniche di Γ-convergenza. Il limite viene espresso come un funzionale integrale il cui integrando è caratterizzato da opportune formule.
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