On the homogenization of some nonlinear problems in perforated domains

Patrizia Donato; Gioconda Moscariello

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 84, page 91-108
  • ISSN: 0041-8994

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Donato, Patrizia, and Moscariello, Gioconda. "On the homogenization of some nonlinear problems in perforated domains." Rendiconti del Seminario Matematico della Università di Padova 84 (1990): 91-108. <http://eudml.org/doc/108209>.

@article{Donato1990,
author = {Donato, Patrizia, Moscariello, Gioconda},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {nonlinear elliptic Neumann problems},
language = {eng},
pages = {91-108},
publisher = {Seminario Matematico of the University of Padua},
title = {On the homogenization of some nonlinear problems in perforated domains},
url = {http://eudml.org/doc/108209},
volume = {84},
year = {1990},
}

TY - JOUR
AU - Donato, Patrizia
AU - Moscariello, Gioconda
TI - On the homogenization of some nonlinear problems in perforated domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 84
SP - 91
EP - 108
LA - eng
KW - nonlinear elliptic Neumann problems
UR - http://eudml.org/doc/108209
ER -

References

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  1. [1] E. Acerbi - D. PERCIVALE, Homogenization of noncoercive functionals: periodic materials with soft inclusions, Appl. Math. Optim., 17 (1988), pp. 91-102. Zbl0659.49010MR910944
  2. [2] A. Nensoussan - J.L. Lions - G. Papanicolaou, Asymptotic analysis for periodic structures, North-Holland, Amsterdam, 1978. Zbl0404.35001MR503330
  3. [3] L. Boccardo - F. Murat, Homogénéisation de problèmes quasi-linéaires, Proceeding of the Meeting « Studio di problemi limite dell'Analisi Funzionale», Bressanone 1981, Pitagora, 1982. 
  4. [4] L. Carbone - C. Sbordone, Some properties of Γ-limits of integral functionals, Ann. Mat. Pura Appl., 122 (1979), pp. 1-60. Zbl0474.49016
  5. [5] V. Chiadò Piat, Convergence of minima for non equicoercive funetionals and related problems, preprint S.I.S.S.A., Trieste. Zbl0743.35020
  6. [6] D. Cioranescu - P. DONATO, Homogénéisation du problème de Neumann non homogène dans des ouverts perforés, to appear onAsymptotic Analysis, 1, 2 (1988). Zbl0683.35026MR950010
  7. [7] D. Cioranescu - J. SAINT JEAN PAULIN, Homogenization in open sets with holes, J. Math. Anal. Appl., 71 (1979), pp. 590-607. Zbl0427.35073MR548785
  8. [8] P. Donato, Una stima per la differenza di H-limiti e qualche applicazione a problemi di omogenizzazione, Rend. Matematica, 4 (1983), pp. 623-640. Zbl0554.35011
  9. [9] E. DeGIORGI - S. SPAGNOLO, Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., 8 (1973), pp. 391-411. Zbl0274.35002MR348255
  10. [10] N. Fusco - G. Moscariello, An application of duality to homogenization of integral functionals, Memorie dell'Acc. dei Lincei, 17, I (1984), pp. 361-372. Zbl0672.49007MR822825
  11. [11] N. Fusco - G. MOSCARIELLO, On the homogenization of quasilinear divergence structure operators, Ann. Mat. Pura Appl., 4, 146 (1987), pp. 1-13. Zbl0636.35027MR916685
  12. [12] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics, 24, Pitman, London, 1985. Zbl0695.35060MR775683
  13. [13] S. Mortola - A. Profeti.On the convergence of the minimum points of non equicoercive quadratic functionals, Comm. Part. Diff. Eqs., 7, 6 (1982), pp. 645-673. Zbl0489.49010MR660748
  14. [14] F. Murat, Compacité par compensation, Ann. Scuola Norm. Sup. Pisa, 5 (1978), pp. 489-507. Zbl0399.46022MR506997
  15. [15] E. Sanchez-Palencia, Nonhomogeneous media and vibration theory, Lecture Notes in Physics, 127, Springer-Verlag, Berlin, 1980. Zbl0432.70002MR578345
  16. [16] P. Suquet, Plasticité et homogénéisation, Thèse d'Etat, Univ. de Paris VI, 1982. 
  17. [17] L. Tartar, Topics in Nonlinear Analysis, Publ. Math. Univ. d'Orsay, 13 (1978). Zbl0395.00008MR532371
  18. [18] L. Tartar, Homogénéisation et compacité pae compensation, Séminaire Schwartz Exposé, 9 (1978). Zbl0406.35055MR504147
  19. [19] L. Tartar, Cours Peccot Collège de France 1977, partially redacted by F. Murat; H-convergence, Séminaire d'Analyse Fonctionnelle et Numerique de l'Univ. d'Alger, 1977/78. 

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