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Links between Young measures associated to constrained sequences

Anca-Maria Toader — 2010

ESAIM: Control, Optimisation and Calculus of Variations

We give necessary and sufficient conditions which characterize the Young measures associated to two oscillating sequences of functions, on ω 1 × ω 2 and on ω 2 satisfying the constraint v n ( y ) = 1 | ω 1 | ω 1 u n ( x , y ) d x . Our study is motivated by nonlinear effects induced by homogenization. Techniques based on equimeasurability and rearrangements are employed.

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