Abstract
This paper deals with the homogenization of a class of highly oscillating monotonic operators which are uniformly elliptic but non-uniformly bounded. We determine an asymptotic barrier below which we obtain a classical behaviour and above which nonlocal effects appear. We also prove that this condition is optimal in the case of a fibre-reinforced medium.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Accepted December 8, 2001¶Published online May 15, 2002
Rights and permissions
About this article
Cite this article
Briane, M. Homogenization¶of Non-Uniformly Bounded Operators:¶Critical Barrier for Nonlocal Effects. Arch. Rational Mech. Anal. 164, 73–101 (2002). https://doi.org/10.1007/s002050200196
Issue Date:
DOI: https://doi.org/10.1007/s002050200196