no. 1
Dirichlet problem associated with a random quasilinear operator in a random domain
ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 1, pp. 103-121. 
@article{M2AN_1996__30_1_103_0,
     author = {Abddaimi, Y. and Michaille, G.},
     title = {Dirichlet problem associated with a random quasilinear operator in a random domain},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {103--121},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {30},
     number = {1},
     year = {1996},
     mrnumber = {1378613},
     zbl = {0881.35010},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1996__30_1_103_0/}
}
TY  - JOUR
AU  - Abddaimi, Y.
AU  - Michaille, G.
TI  - Dirichlet problem associated with a random quasilinear operator in a random domain
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1996
SP  - 103
EP  - 121
VL  - 30
IS  - 1
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://www.numdam.org/item/M2AN_1996__30_1_103_0/
LA  - en
ID  - M2AN_1996__30_1_103_0
ER  - 
%0 Journal Article
%A Abddaimi, Y.
%A Michaille, G.
%T Dirichlet problem associated with a random quasilinear operator in a random domain
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1996
%P 103-121
%V 30
%N 1
%I AFCET - Gauthier-Villars
%C Paris
%U http://www.numdam.org/item/M2AN_1996__30_1_103_0/
%G en
%F M2AN_1996__30_1_103_0
Abddaimi, Y.; Michaille, G. Dirichlet problem associated with a random quasilinear operator in a random domain. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 1, pp. 103-121. http://www.numdam.org/item/M2AN_1996__30_1_103_0/

[1] M. A. Ackoglu, U. Krengel, 1981, Ergodic Theorems for Superadditive Processes, J. Reine. Ang. Math., 323, pp. 53-67. | MR | Zbl

[2] H. Attouch, 1984, Variational Convergence for functions and operators, Research Notes in Mathematics, Pitman, London. | MR | Zbl

[3] J. P. Aubin-H. Frankowska, 1990, Set Valued Analysis, Birkhäuser. | MR | Zbl

[4] M. Balzano, 1988, Random perfored Dirichlet problems, Ann. Mat. Para Appl. (4), 153. | MR | Zbl

[5] A. Bensoussan, 1989, Homogenization with random oscillating coefficients, Partial differential Equations and the Calculus of Variation, Vol. I, Essays in the Honor of E. De Giorgi, F. Colombini, A. Marino, L. Modica, S. Spagnolo Editors, Birkhäuser. | MR | Zbl

[6] L. Boccardo, F. Murat, J. P. Puel, 1984, Résultats d'existence pour certains problèmes elliptiques quasilinéaires, Ann. Scuola Norm. Sup. Pisa, cl. Sci. (4) 11, pp. 213-235. | Numdam | MR | Zbl

[7] A. Bourgeat, A. Mikelic, S. Wright, 1994, Stochastic Two-scale Convergence in the mean and applications, J. Für die Reine angew. Math., 456, pp, 19-51. | MR | Zbl

[8] A. Brillard, 1990, Homogénéisation de quelques équations de la mécanique des milieux continus. Thèse d'état.

[9] C. Castaing, M. Valadier, 1977, Convex Analysis and Measurable Multifunctions, Lect. Notes in Math., vol. 580, Springer Verlag. | MR | Zbl

[10] E. Chabi, G. Michaille, 1995, Random Dirichlet problem : scalar Darcy law, Potential Analysis, vol. 4, 2, pp. 119-140. | MR | Zbl

[11] E. Chabi, Homogénéisation stochastique et théorie ergodique, Thèse d'État soutenue le 25 mai 1993, Université Moulay Ismail, Faculté des Sciences, Meknès.

[12] M. Chipot, G. Michaille, 1989, Uniqueness result and monotonicity properties for strongly nonlinear elliptic variational inequalities, Ann. Scuola Norm. Sup. Pisa, cl. Sci., vol. XVI, 1, pp. 137-166. | Numdam | MR | Zbl

[13] J. L. Lions, 1981, Some Methods in the Mathematical Analysis of Systems and Their Control, Science Press, Gordon and Breach. | MR | Zbl

[14] G. Dal-Maso, A. Garroni, 1993, A new approach to the study of limits of Dirichlet problems in perforated domains, Preprint S.I.S.A. 67/M (May).

[15] G. Dal Maso, L. Modica, 1986, Nonlinear Stochastic Homogenization and Ergodic Theory, J. Reine Angew. Math., 368, pp. 28-42. | MR | Zbl

[16] S. M. Koslov, 1980, Averraging of random operators, Math. USSR. Sbornik, 37, pp. 167-180. | Zbl

[17] U. Krengel, 1985, Ergodic Theorems, Walter de Gruyter, Studies in Math. | MR | Zbl

[18] G. C. Papanicolaou, 1985, Macroscopic properties of composites, bubby fluids, suspensions and related problems, Les méthodes de l'homogénéisation : théorie et applications en physique, CEA-EDF INRIA, École d'été d'analyse numérique, Eyrolles. | MR

[19] K. Sab, 1992, On the homogenization and simulation of random materials, European Journal of Mechanics, A/Solids, 11, 5. | MR | Zbl