Communications in Mathematical Analysis

Deterministic Homogenization of Variational Inequalities with Unilateral Constraint

Hermann Douanla and Cyrille Kenne

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

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

Dates
First available in Project Euclid: 20 August 2019

Permanent link to this document
https://projecteuclid.org/euclid.cma/1566266424

Mathematical Reviews number (MathSciNet)
MR3992898

Subjects
Primary: 76M50: Homogenization 35B40: Asymptotic behavior of solutions 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] 35Q35: PDEs in connection with fluid mechanics

Keywords
deterministic homogenization variational inequality unilateral constraint multiscale convergence

Citation

Douanla, Hermann; Kenne, Cyrille. Deterministic Homogenization of Variational Inequalities with Unilateral Constraint. Commun. Math. Anal. 22 (2019), no. 1, 1--13. https://projecteuclid.org/euclid.cma/1566266424


Export citation