Free Access
Issue
ESAIM: COCV
Volume 15, Number 1, January-March 2009
Page(s) 49 - 67
DOI https://doi.org/10.1051/cocv:2008021
Published online 23 January 2009
  1. 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]
  2. C. Calvo-Jurado, J. Casado-Díaz and M. Luna-Laynez, Homogenization of elliptic problems with the Dirichlet and Neumann conditions imposed on varying subsets. Math. Meth. Appl. Sci. 30 (2007) 1611–1625. [CrossRef] [Google Scholar]
  3. J. Casado-Díaz, Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains. J. Math. Pures Appl. 76 (1997) 431–476. [CrossRef] [MathSciNet] [Google Scholar]
  4. J. Casado-Díaz, Homogenization of Dirichlet problems for monotone operators in varying domains. Proc. Roy. Soc. Edinburgh A 127 (1997) 457–478. [Google Scholar]
  5. J. Casado-Díaz and A. Garroni, Asymptotic behavior of nonlinear elliptic systems on varying domains. SIAM J. Math. Anal. 31 (2000) 581–624. [CrossRef] [MathSciNet] [Google Scholar]
  6. D. Cionarescu and F. Murat, Un terme étrange venu d'ailleurs, in Nonlinear partial differential equations and their applications, Collège de France seminar, Vols. II and III, H. Brézis and J.-L. Lions Eds., Research Notes in Math. 60 and 70, Pitman, London (1982) 98–138 and 154–78. [Google Scholar]
  7. G. Dal Maso and A. Defranceschi, Limits of nonlinear Dirichlet problems in varying domains. Manuscripta Math. 61 (1988) 251–278. [CrossRef] [MathSciNet] [Google Scholar]
  8. G. Dal Maso and A. Garroni, New results on the asymptotic behaviour of Dirichlet problems in perforated domains. Math. Mod. Meth. Appl. Sci. 3 (1994) 373–407. [Google Scholar]
  9. G. Dal Maso and U. Mosco, Wiener-criterion and Formula -convergence. Appl. Math. Optim. 15 (1987) 15–63. [CrossRef] [MathSciNet] [Google Scholar]
  10. G. Dal Maso and F. Murat, Asymptotic behaviour and correctors for the Dirichlet problems in perforated domains with homogeneous monotone operators. Ann. Sc. Norm. Sup. Pisa 7 (1997) 765–803. [Google Scholar]
  11. 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 21 (2004) 445–486. [CrossRef] [MathSciNet] [Google Scholar]
  12. G. Dal Maso, A. Garroni and I.V. Skrypnik, A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators. J. Anal. Math. 71 (1997) 263–313. [CrossRef] [MathSciNet] [Google Scholar]
  13. A. Damlamian and T. Li, Boundary homogenization for elliptic problems. J. Math. Pures Appl. 66 (1987) 351–361. [MathSciNet] [Google Scholar]
  14. L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions. CRC Press, Boca Raton (1992). [Google Scholar]
  15. H. Federer and W.P. Ziemer, The Lebesgue set of a function whose distribution derivaties are p-th power sumable. Indiana Univ. Math. J. 22 (1972) 139–158. [CrossRef] [MathSciNet] [Google Scholar]
  16. J. Leray and J.-L. Lions, Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder. Bull. Soc. Math. France 93 (1965) 97–107. [MathSciNet] [Google Scholar]
  17. J. Necas, Les méthodes directes en théorie des équations elliptiques. Masson, Paris (1967). [Google Scholar]
  18. J. Serrin, Local behaviour of solutions of quasilinear equations. Acta Math. 111 (1964) 302–347. [Google Scholar]
  19. I.V. Skrypnik, Asymptotic behaviour of solutions of nonlinear elliptic problems in perforated domains. Mat. Sb. 184 (1993) 67–90. [Google Scholar]
  20. I.V. Skrypnik, Averaging of quasilinear parabolic problems in domains with fine-grained boundary. Diff. Equations 31 (1995) 327–339. [Google Scholar]
  21. W.P. Ziemer, Weakly Differentiable Functions. Springer-Verlag, Berlin (1989). [Google Scholar]

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