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Homogenisation of Dirichlet problems for monotone operators in varying domains. (English) Zbl 0877.35013
Summary: We study the asymptotic behaviour, for a sequence of varying open sets $$\Omega_n$$, of the solutions $$u_n$$ of nonlinear Dirichlet problems for a monotone Leray-Lions operator. The method is based on the comparison between the gradient of $$u_n$$ and the corrector for the $$p$$-Laplacian corresponding to the same geometry as the monotone operator. The representation of the limit problem and a corrector result are obtained.

##### MSC:
 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35J65 Nonlinear boundary value problems for linear elliptic equations
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##### References:
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