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Journal of Convex Analysis 06 (1999), No. 2, 267--292
Copyright Heldermann Verlag 1999

Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary

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

We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of Rn, 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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