Non-homogeneous Neumann problems in domains with small holes
Conca, C. ; Donato, P.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988), p. 561-607 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{M2AN_1988__22_4_561_0,
     author = {Conca, C. and Donato, P.},
     title = {Non-homogeneous Neumann problems in domains with small holes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {22},
     year = {1988},
     pages = {561-607},
     mrnumber = {974289},
     zbl = {0669.35028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1988__22_4_561_0}
}

Conca, C.; Donato, P. Non-homogeneous Neumann problems in domains with small holes. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 561-607. http://gdmltest.u-ga.fr/item/M2AN_1988__22_4_561_0/

[1] H. Attouch, Variational convergence for functions and operators, Pitman Applicable Mathematics Series, Pitman, London, 1984. | MR 773850 | Zbl 0561.49012

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

[3] D. Cioranescu, P. Donato, Homogénéisation du problème de Neumann non-homogène dans des ouverts perforés, Asymptotic Analysis 1 (2) (1988, to appear). | MR 950010 | Zbl 0683.35026

[4] D. Cioranescu, F. Murat, Un terme étrange venu d'ailleurs, in Nonlinear partial differential equations and their applications, Collège de France Seminar, vol. II, pp. 98-138, vol. III, pp. 154-178, ed. by H. Brezis & J. L, Lions, Research Notes in Mathematics, Nos 60 & 70, Pitman, London, 1981. | Zbl 0496.35030

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

[6] E. De Giorgi, T. Franzoni, Su un tipo di convergenza variazionale, Atti.Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 58 (8), pp. 842-850, 1975. | MR 448194 | Zbl 0339.49005

[7] J. L. Lions, Some methods in the mathematical analysis of Systems and their control, Science-Press, Beijing, and Gordon & Breach, NewYork, 1981. | MR 664760 | Zbl 0542.93034

[8] S. Mortola, A. Profeti, On the convergence of the minimum points of non equicoercive quadratic functionals, Comm. in Partial Diff. Eqs. 7 (6), pp. 645-673, 1982. | MR 660748 | Zbl 0489.49010

[9] W. Rudin, Real and Complex Analysis, Mc Graw-Hill, New York, 1966. | MR 210528 | Zbl 0142.01701

[10] E. Sanchez-Palencia, Non-homogeneous media and vibration theory, Lecture Notes in Physics, N° 127, Springer-Verlag, Berlin, 1980. | MR 578345 | Zbl 0432.70002

[11] L. Tartar, Problèmes d'homogénéisation dans les équations aux dérivées partielles, Cours Peccot, Collège de France, mars 1977 (Cours partiellement rédigé dans : F. Murât, H-Convergence, Séminaire d'Analyse Fonctionnelle et Numérique, 1977/78, Université d'Alger).