Asymptotic analysis of two elliptic equations with oscillating terms
Brillard, Alain
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988), p. 187-216 / Harvested from Numdam
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Publié le : 1988-01-01
@article{M2AN_1988__22_2_187_0,
     author = {Brillard, Alain},
     title = {Asymptotic analysis of two elliptic equations with oscillating terms},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {22},
     year = {1988},
     pages = {187-216},
     mrnumber = {945122},
     zbl = {0657.35016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1988__22_2_187_0}
}

Brillard, Alain. Asymptotic analysis of two elliptic equations with oscillating terms. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 187-216. http://gdmltest.u-ga.fr/item/M2AN_1988__22_2_187_0/

[1] . A. Adams, Sobolev spaces. Academic Press (1975). | Zbl 0314.46030

[2] . H. Attouch, Variational convergence for fonctions and operators. Applicable Mathematics Series. Pitman (London) 1984. | MR 773850 | Zbl 0561.49012

[3] H. Attouch, C. Picard, Variational inequalities with varying obstacles, the general form of the limit problem. J. of Funct. Analysis., 50, pp. 329-386 (1983). | MR 695419

[4] A. Bensoussan, J. L. Lions, G. Papanicolaou, Asymptotic analysis for periodic structures. North Holland (Amsterdam) 1978. | MR 503330 | Zbl 0404.35001

[5] L. Boccardo, P. Marcellini, Sulla convergenza delle soluzioni di dis-equazioni variazionali. Ann. di Matematica Pura ed Appli. CX, pp. 137-159 (1976). | MR 425344 | Zbl 0333.35030

[6] H. Brezis, Opérateurs maximaux monotones et semigroupes de contraction dans les espaces de Hilbert. North Holland (Amsterdam) 1973. | Zbl 0252.47055

[7] A. Brillard, These de troisième cycle. Orsay (1983).

[8] A. Brillard, Étude du comportement asymptotique de l'écoulement d'un fluide incompressible dans un milieu poreux. Publications AVAMAC 85-11 (1985), and paper to be published.

[9] D. Cioranescu, F. Murat, Un terme étrange venu d'ailleurs. I, II Seminar Coll. de France. Brezis, Lions Ed., tome 60, 70. Pitman (London) 1982. | Zbl 0496.35030

[10] D. Cioranescu, J. Saint Jean Paulin, Homogenization in open sets with holes. J. Math. Anal. Appli. 71, pp. 590-607 (1979). | MR 548785 | Zbl 0427.35073

[11] C. Conca, On the application of the homogenization theory to a class of problems arising in fluid mechanics. I. Theoretical results. Publications Lab. Ana. Num. Univ. P. M. Curie 1983.

[12] G. Dal Maso, P. Longo, T-Limits of obstacles. Annali di Matematica Pura ed Appli. 4 (128), pp. 1-50 (1980). | MR 640775 | Zbl 0467.49004

[13] E. De Giorgi, Convergence problems for functionals and operators. Proceedings « Recent Methods in Nonlinear Analysis » Rome, 1978. Pitagora (Roma) 1979. | MR 533166 | Zbl 0405.49001

[14] E. De Giorgi, G. Letta, Une notion de convergence faible pour les fonctions croissantes d'ensembles. Ann. Scuola Norm. Sup. Pisa, 4, pp. 61-99 (1977). | Numdam | MR 466479 | Zbl 0405.28008

[15] E. De Giorgi, S. Spagnolo, Sulla convergenza degli intergrali dell' energia Boll. U.M.I., 8, pp. 391-411 (1973). | MR 348255 | Zbl 0274.35002

[16] I. Ekeland, R. Temam, Analyse convexe et problèmes variationnels. Dunod (Paris) 1973. | MR 463993 | Zbl 0281.49001

[17] C. Kuratowski, Topology. Academic Press (New York) 1966. | Zbl 0158.40802

[18] Marchenko, Hrouslov, Problèmes aux limites dans des domaines avec frontière finement granulée (in russian) Naukova Dumka. Kiev (1974).

[19] J. Rauch, M. Taylor, Potential and scattering theory on widly perturbed domains J.E.A., 18, pp. 27-59 (1975). | MR 377303 | Zbl 0293.35056

[20] E. Sanchez-Palencia, Nonhomogeneous media and vibration theory. Lecture Notes in Physics, Vol. 127, Springer Berlin (1980). | MR 578345 | Zbl 0432.70002

[21] S. Spagnolo, Sulla convegenza di soluzioni di equazioni paraboliche ed ellittiche. Annali. S.N.S. Pisa, 22, pp. 571-597 (1968). | Numdam | MR 240443 | Zbl 0174.42101

[22] L. Tartar, Cours Peccot (1977).