Random Homogenization of an Obstacle Problem
Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 2, pp. 375-395. 
@article{AIHPC_2009__26_2_375_0,
     author = {Caffarelli, L. A. and Mellet, A.},
     title = {Random {Homogenization} of an {Obstacle} {Problem}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {375--395},
     publisher = {Elsevier},
     volume = {26},
     number = {2},
     year = {2009},
     doi = {10.1016/j.anihpc.2007.09.001},
     mrnumber = {2504035},
     zbl = {1180.35069},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2007.09.001/}
}
TY  - JOUR
AU  - Caffarelli, L. A.
AU  - Mellet, A.
TI  - Random Homogenization of an Obstacle Problem
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2009
SP  - 375
EP  - 395
VL  - 26
IS  - 2
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpc.2007.09.001/
DO  - 10.1016/j.anihpc.2007.09.001
LA  - en
ID  - AIHPC_2009__26_2_375_0
ER  - 
%0 Journal Article
%A Caffarelli, L. A.
%A Mellet, A.
%T Random Homogenization of an Obstacle Problem
%J Annales de l'I.H.P. Analyse non linéaire
%D 2009
%P 375-395
%V 26
%N 2
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpc.2007.09.001/
%R 10.1016/j.anihpc.2007.09.001
%G en
%F AIHPC_2009__26_2_375_0
Caffarelli, L. A.; Mellet, A. Random Homogenization of an Obstacle Problem. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 2, pp. 375-395. doi : 10.1016/j.anihpc.2007.09.001. http://www.numdam.org/articles/10.1016/j.anihpc.2007.09.001/

[1] Akcoglu M. A., Krengel U., Ergodic Theorems for Superadditive Processes, J. Reine Angew. Math. 323 (1981) 53-67. | MR | Zbl

[2] Carbone L., Colombini F., On Convergence of Functionals With Unilateral Constraints, J. Math. Pures Appl. (9) 59 (4) (1980) 465-500. | MR | Zbl

[3] Caffarelli L. A., Souganidis P. E., Wang L., Homogenization of Fully Nonlinear, Uniformly Elliptic and Parabolic Partial Differential Equations in Stationary Ergodic Media, Comm. Pure Appl. Math. 58 (3) (2005) 319-361. | MR | Zbl

[4] Cioranescu D., Murat F., Un Terme Étrange Venu D'ailleurs, in: Nonlinear Partial Differential Equations and Their Applications. Collège De France Seminar, Vol. II, Paris, 1979/1980, Res. Notes in Math, vol. 60, Pitman, Boston, MA, 1982, pp. 98-138, 389-390. | MR | Zbl

[5] Cioranescu D., Murat F., Un Terme Étrange Venu D'ailleurs. II, in: Nonlinear Partial Differential Equations and Their Applications. Collège De France Seminar, Vol. III, Paris, 1980/1981, Res. Notes in Math., vol. 70, Pitman, Boston, MA, 1982, pp. 154-178, 425-426. | MR | Zbl

[6] Dal Maso G., Asymptotic Behaviour of Minimum Problems With Bilateral Obstacles, Ann. Mat. Pura Appl. (4) 129 (1981) 327-366. | MR

[7] Dal Maso G., Longo P., Γ-Limits of Obstacles, Ann. Mat. Pura Appl. (4) 128 (1981) 1-50. | MR | Zbl

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

[9] De Giorgi E., Dal Maso G., Longo P., Γ-Limits of Obstacles, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 68 (6) (1980) 481-487. | MR | Zbl

Cité par Sources :