Free Access
Issue |
ESAIM: M2AN
Volume 37, Number 5, September-October 2003
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Page(s) | 773 - 805 | |
DOI | https://doi.org/10.1051/m2an:2003055 | |
Published online | 15 November 2003 |
- N. Ansini and A. Braides, Asymptotic analysis of periodically perforated non-linear media. J. Math. Pures Appl. 81 (2002) 439-451. [CrossRef] [MathSciNet] [Google Scholar]
- H. Attouch, Variational Convergence for Functions and Operators. Pitman, London (1984). [Google Scholar]
- A. Braides and A. Defranceschi, Homogenization of Multiple Integrals. Oxford University Press, Oxford (1998). [Google Scholar]
- H. Brézis, Problèmes unilatéraux. J. Math. Pures Appl. 51 (1972) 1-168. [MathSciNet] [Google Scholar]
- C. Calvo Jurado and J. Casado Díaz, The limit of Dirichlet systems for variable monotone operators in general perforated domains. J. Math. Pures Appl. 81 (2002) 471-493. [CrossRef] [MathSciNet] [Google Scholar]
- J. Casado Díaz, Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains. Rend. Mat. Appl. 16 (1996) 387-413. [MathSciNet] [Google Scholar]
- J. Casado-Díaz, Homogenization of Dirichlet problems for monotone operators in varying domains. Proc. Roy. Soc. Edinburgh Sect. A 127 (1997) 457-478. [MathSciNet] [Google Scholar]
- D. Cioranescu and J. Saint Jean Paulin, Homogenization in open sets with holes. J. Math. Anal. Appl. 71 (1979) 590-607. [CrossRef] [MathSciNet] [Google Scholar]
- D. Cioranescu and F. Murat, Un terme étrange venu d'ailleurs, I and II, in Nonlinear Differential Equations and Their Applications, Collège de France Seminar, H. Brézis and J.L. Lions, Eds., Vol. II, pp. 98-138, Vol. III, pp. 154-178. Pitman, London, Research Notes in Mathematics 60 and 70 (1982 and 1983). English translation: A Strange Term Coming from Nowhere, in Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R.V. Kohn, Eds. Birkhäuser, Boston, Progr. Nonlinear Differential Equations Appl. 31 (1997) 45-93. [Google Scholar]
- C. Conca and P. Donato, Non homogeneous Neumann problems in domains with small holes. RAIRO Modél. Math. Anal. Numér. 22 (1988) 561-607. [MathSciNet] [Google Scholar]
- C. Conca and M. Vanninathan, On uniform H2-estimates in periodic homogenization. Proc. Roy. Soc. Edinburgh A 131 (2001) 499-517. [Google Scholar]
- G. Dal Maso, On the integral representation of certain local functionals. Ricerche Mat. 32 (1983) 85-113. [MathSciNet] [Google Scholar]
- G. Dal Maso, Γ-convergence and µ-capacities. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 14 (1987) 423-464. [MathSciNet] [Google Scholar]
- G. Dal Maso, An Introduction to Γ-Convergence. Birkhäuser, Boston, Progr. Nonlinear Differential Equations Appl. 8 (1993). [Google Scholar]
- G. Dal Maso and A. Garroni, New results on the asymptotic behavior of Dirichlet problems in perforated domains. Math. Models Methods Appl. Sci. 4 (1994) 373-407. [CrossRef] [MathSciNet] [Google Scholar]
- G. Dal Maso and F. Murat, Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. Ann. Scuola. Norm. Sup. Pisa Cl. Sci. 24 (1997) 239-290. [MathSciNet] [Google Scholar]
- G. Dal Maso and F. Murat, Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Ann. Inst. H. Poincaré, Anal. non linéaire (to appear). [Google Scholar]
- E. De Giorgi and T. Franzoni, Su un tipo di convergenza variazionale. Atti. Accad. Naz. Lincei Rend. Cl. Sci. Mat. Fis. Natur. 58 (1975) 842-850. [Google Scholar]
- G. Duvaut and J.L. Lions, Les inéquations en mécanique et en physique. Dunod, Paris (1972). [Google Scholar]
- G. Fichera, Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambigue condizioni al contorno. Mem. Accad. Naz. Lincei, Serie 8 7 (1964) 91-140. [Google Scholar]
- A. Kovalevsky, An effect of double homogenization for Dirichlet problems in variable domains of general structure. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999) 1151-1156. [Google Scholar]
- J.L. Lions and G. Stampacchia, Variational inequalities. Comm. Pure Appl. Math. 20 (1967) 493-519. [CrossRef] [MathSciNet] [Google Scholar]
- V.A. Marcenko and E.Ja. Hrouslov, Boundary Value Problems in Domains with Fine-Grained Boundary (in russian). Naukova Dumka, Kiev (1974). [Google Scholar]
- F. Murat, H-convergence, Séminaire d'Analyse Fonctionnelle et Numérique de l'université d'Alger 1977-1978, multigraphied, 34 p. English translation: F. Murat and L. Tartar, H-convergence, in Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R.V. Khon, Eds. Birkhäuser, Boston, Progr. Nonlinear Differential Equations Appl. 31 (1997) 21-43. [Google Scholar]
- A. Signorini, Sopra alcune questioni di Elastostatica. Atti della Soc. Ital. per il Progresso della Scienze (1963). [Google Scholar]
- I.V. Skrypnik, Nonlinear Elliptic Boundary Value Problems. Teubner-Verlag, Leipzig (1986). [Google Scholar]
- L. Tartar, Problèmes d'homogénéisation dans les équations aux dérivées partielles. Cours Peccot, Collège de France (1977) (Partially written in []). [Google Scholar]
- L. Tartar, Quelques remarques sur l'homogénéisation, in Functional Analysis and Numerical Analysis, Proceedings of the Japan-France Seminar 1976, H. Fujita, Ed. Japan Society for the Promotion of Science, Tokyo (1978) 469-482. [Google Scholar]
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