Two-scale convergence of some integral functionals |
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Authors: | A Visintin |
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Institution: | (1) Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050 Povo, Trento, Italia |
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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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Keywords: | 35K60 35B27 46N10 49 |
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