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Deterministic Homogenization of Variational Inequalities with Unilateral Constraint

Commun. Math. Anal.
Volume 22, Number 1 (2019), 1 - 13

Deterministic Homogenization of Variational Inequalities with Unilateral Constraint

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Abstract

The article studies the reiterated homogenization of linear elliptic variational inequalities arising in problems with unilateral constraints. We assume that the coefficients of the equations satisfy and abstract hypothesis covering on each scale a large set of concrete deterministic behavior such as the periodic, the almost periodic and the convergence at infinity. Using the multiscale convergence method, we derive a homogenization result whose limit problem is of the same type as the problem with rapidly oscillating coefficients.