Links between Young measures associated to constrained sequences

Free access article

Issue		ESAIM: COCV Volume 5, 2000


Page(s)		579 - 590
DOI		10.1051/cocv:2000122

DOI: 10.1051/cocv:2000122

ESAIM: COCV, November 2000, Vol. 5, 579-590

Links between Young measures associated
to constrained sequences

Anca-Maria Toader
Faculdade de Ciências, CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal; (amtan@lmc.fc.ul.pt)

Received February 8, 2000. Revised July, 2000

Abstract: We give necessary and sufficient conditions which characterize the Young measures associated to two oscillating sequences of functions, u_n on $\omega_1\times \omega_2$ and v_n on $\omega_2$ satisfying the constraint $v_n(y)={{1} \over {\vert\omega_1\vert}} \int_{\omega_1} u_n (x, y) dx$ . Our study is motivated by nonlinear effects induced by homogenization. Techniques based on equimeasurability and rearrangements are employed.

Keywords and phrases: Young measures, rearrangements, doubly stochastic operators.

AMS Subject Classification: 28, 49

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