Faculté des Sciences et Techniques de Tanger, Département de Mathématiques, B.P. 416, Tanger, Maroc, eljar@fstt.ac.ma
Abstract: We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones of size less than $\varepsilon$ distributed on the boundary of this domain when the parameter $\varepsilon$ goes to 0. We use epi-convergence arguments in order to establish the limit behaviour.
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