We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of R^(n), n>= 3 and with homogeneous Dirichlet boundary conditions imposed on small zones of size less than ε distributed on the boundary of this domain when the parameter ε goes to 0. We use epi-convergence arguments in order to establish the limit behaviour

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Mustapha El Jarroudi

Dép. de Mathématiques, Faculté des Sciences et Techniques, Tanger, Marocco

M. El Jarroudi. “Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary.” Journal of Convex Analysis 6 (1999), No. 2, 267–292.