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Two-scale convergence of some integral functionals

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Abstract

Nguetseng’s notion of two-scale convergence is reviewed, and some related properties of integral functionals are derived. The coupling of two-scale convergence with convexity and monotonicity is then investigated, and a two-scale version is provided for compactness by strict convexity. The div-curl lemma of Murat and Tartar is also extended to two-scale convergence, and applications are outlined.

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  1. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050, Povo, Trento, Italia

    A. Visintin

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Visintin, A. Two-scale convergence of some integral functionals. Calc. Var. 29, 239–265 (2007). https://doi.org/10.1007/s00526-006-0068-3

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