Two-scale convergence of some integral functionals

Author: Visintin A.  

Publisher: Springer Publishing Company

ISSN: 0944-2669

Source: Calculus of Variations and Partial Differential Equations, Vol.29, Iss.2, 2007-06, pp. : 239-265

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Abstract

Nguetseng’s notion of two-scale convergence</i> 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</i>. The div-curl lemma</i> of Murat and Tartar is also extended to two-scale convergence, and applications are outlined.