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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1007/bf01139358

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1572-9036

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Homogenization of Nonlinear Degenerate Nonmonoton

Authors: Jean Louis Woukeng
Publish Date: 2009/10/22
Volume: 112, Issue: 1, Pages: 35-68
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Abstract

The paper deals with the homogenization problem beyond the periodic setting for a degenerated nonlinear nonmonotone elliptic type operator on a perforated domain Ω ε in ℝ N with isolated holes While the space variable in the coefficients a 0 and a is scaled with size ε ε0 a small parameter the system of holes is scaled with ε 2 size so that the problem under consideration is a reiterated homogenization problem in perforated domains The homogenization problem is formulated in terms of the general socalled deterministic homogenization theory combining real homogenization algebras with the Σconvergence method We present a new approach based on the Besicovitch type spaces to solve deterministic homogenization problems and we obtain a very general abstract homogenization results We then illustrate this abstract setting by providing some concrete applications of these results to eg the periodic homogenization the almost periodic homogenization and others

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  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
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  10. Variational Approach to the Inviscid Compressible Fluid
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