Young measures generated by a class of integrands: a narrow epicontinuity and applications to Homogenization期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Young measures generated by a class of integrands: a narrow epicontinuity and applications to Homogenization

Authors:	Grard Michaille Michel Valadier

Institution:	Laboratoire ACSIOM, Université Montpellier II, Case courier 051, Place Eugène Bataillon, 34095, Montpellier cedex 5, France

Abstract:	Given a subset E of convex functions from into which satisfy growth conditions of order p>1 and an open bounded subset of , we establish the continuity of a map μΦ_μ from the set of all Young measures on equipped with the narrow topology into a set of suitable functionals defined in and equipped with the topology of Γ-convergence. Some applications are given in the setting of periodic and stochastic homogenization.

Keywords:	Young measures Γ -convergence Periodic homogenization Stochastic homogenizationMesures de Young Γ -convergence Homogé né isation pé riodique Homogé né isation stochastique
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