Scientific publications
2018PreprintEnglishOpen access
Deterministic homogenization of variational inequalities with unilateral constraints (opens in a new tab)
Authors
University of Yaoundé I
Other authors
Cyrille Kenne
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Scientific publications
Cyrille Kenne
arXiv (Cornell University)
The article studies the reiterated homogenization of linear elliptic variational inequalities arising in problems with unilateral constrains. 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, the convergence at infinity. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is of the same type as the problem with rapidly oscillating coefficients.