Archive for Rational Mechanics and Analysis

, Volume 164, Issue 1, pp 73–101 | Cite as

Homogenization¶of Non-Uniformly Bounded Operators:¶Critical Barrier for Nonlocal Effects

  • Marc Briane


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.


Bound Operator Monotonic Operator Classical Behaviour Nonlocal Effect 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Marc Briane
    • 1
  1. 1.Centre de Mathématiques¶I.N.S.A. de Rennes & I.R.M.A.R.¶20, Avenue des Buttes de Coësmes,¶CS 14315¶35043 Rennes Cedex, France¶e-mail: mbriane@insa-rennes.frFR

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