Semi-strong convergence of sequences satisfying a variational inequality
Annales de l'I.H.P. Analyse non linéaire, Volume 25 (2008) no. 1, p. 121-133
@article{AIHPC_2008__25_1_121_0,
     author = {Briane, Marc and Mokobodzki, Gabriel and Murat, Fran\c cois},
     title = {Semi-strong convergence of sequences satisfying a variational inequality},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     publisher = {Elsevier},
     volume = {25},
     number = {1},
     year = {2008},
     pages = {121-133},
     doi = {10.1016/j.anihpc.2006.11.004},
     zbl = {pre05247881},
     mrnumber = {2383081},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2008__25_1_121_0}
}
Briane, Marc; Mokobodzki, Gabriel; Murat, François. Semi-strong convergence of sequences satisfying a variational inequality. Annales de l'I.H.P. Analyse non linéaire, Volume 25 (2008) no. 1, pp. 121-133. doi : 10.1016/j.anihpc.2006.11.004. http://www.numdam.org/item/AIHPC_2008__25_1_121_0/

[1] Bensoussan A., Lions J.L., Papanicolaou G., Asymptotic Analysis for Periodic Structures, North-Holland, 1978. | MR 503330 | Zbl 0404.35001

[2] Briane M., Mokobodzki G., Murat F., Variations on a strange semi-continuity result, J. Funct. Anal. 227 (1) (2005) 78-112. | MR 2165088 | Zbl 1081.47049

[3] Cioranescu D., Murat F., Un terme étrange venu d'ailleurs, I & II, in: Brezis H., Lions J.-L. (Eds.), Nonlinear Partial Differential Equations and their Applications Collège de France Seminar, vols. II & III, Research Notes in Math., vols. 60 and 70, Pitman, London, 1982, pp. 98-138, and 154-178; English translation: A strange term coming from nowhere, in: Cherkaev A., Kohn R.V. (Eds.), Topics in the Mathematical Modelling of Composite Materials, Progress in Nonlinear Differential Equations and their Applications, vol. 31, Birkhäuser, Boston, 1997, pp. 44-93. | Zbl 0496.35030

[4] Jikov V.V., Kozlov S.M., Oleinik O.A., Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994. | MR 1329546 | Zbl 0838.35001

[5] Meyers N.G., An L p -estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Sc. Norm. Sup. Pisa 17 (1963) 189-206. | Numdam | MR 159110 | Zbl 0127.31904

[6] Murat F., Tartar L., H-convergence, in: Cherkaev L., Kohn R.V. (Eds.), Topics in the Mathematical Modelling of Composite Materials, Progress in Nonlinear Differential Equations and their Applications, vol. 31, Birkhäuser, Boston, 1998, pp. 21-43. | MR 1493039 | Zbl 0920.35019