Journal of convex analysis, Tome 6 (1999) no. 2, pp. 267-292
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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, Tome 6 (1999) no. 2, pp. 267-292. http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a2/
@article{JCA_1999_6_2_JCA_1999_6_2_a2,
author = {M. El Jarroudi},
title = {Boundary {Homogenization} for a {Quasi-Linear} {Elliptic} {Problem} with {Dirichlet} {Boundary} {Conditions} {Posed} on {Small} {Inclusions} {Distributed} on the {Boundary}},
journal = {Journal of convex analysis},
pages = {267--292},
year = {1999},
volume = {6},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a2/}
}
TY - JOUR
AU - M. El Jarroudi
TI - Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
JO - Journal of convex analysis
PY - 1999
SP - 267
EP - 292
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a2/
ID - JCA_1999_6_2_JCA_1999_6_2_a2
ER -
%0 Journal Article
%A M. El Jarroudi
%T Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
%J Journal of convex analysis
%D 1999
%P 267-292
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a2/
%F JCA_1999_6_2_JCA_1999_6_2_a2
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.
