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
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.
@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
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/