On homogenization of solutions of boundary value problems in domains, perforated along manifolds

M. Lobo; O. A. Oleinik; M. E. Perez; T. A. Shaposhnikova

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 3-4, page 611-629
  • ISSN: 0391-173X

How to cite

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Lobo, M., et al. "On homogenization of solutions of boundary value problems in domains, perforated along manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3-4 (1997): 611-629. <http://eudml.org/doc/84307>.

@article{Lobo1997,
author = {Lobo, M., Oleinik, O. A., Perez, M. E., Shaposhnikova, T. A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3-4},
pages = {611-629},
publisher = {Scuola normale superiore},
title = {On homogenization of solutions of boundary value problems in domains, perforated along manifolds},
url = {http://eudml.org/doc/84307},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Lobo, M.
AU - Oleinik, O. A.
AU - Perez, M. E.
AU - Shaposhnikova, T. A.
TI - On homogenization of solutions of boundary value problems in domains, perforated along manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 3-4
SP - 611
EP - 629
LA - eng
UR - http://eudml.org/doc/84307
ER -

References

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  1. [1] V.A. Marchenko - E. Ya.KHRUSLOV, "Boundary problems with a finely grenulated boundaries", Naukova Dumka, Kiev, 1974. 
  2. [2] O.A. Oleinik - T.A. Shaposhnikova, On homogenization of the biharmonic equation in a domain, perforated along manifolds of a small dimension, Differential equations6 (1996), 830-842. Zbl0882.31001MR1444937
  3. [3] M. Lobo - O.A. Oleinik - M.E. Perez - T.A. Shaposhnikova, On boundary value problems in a domain, perforated along manifolds, Russian Math.Survey52 (4) 1997. Zbl0918.35019MR1480898
  4. [4] E. De Giorgi - S. Spagnolo, Sulla convergenza degli integrali dell'energia per operatori elliptici del secondo ordine, Boll. Unione Mat. Ital.8 (1973), 391-411. Zbl0274.35002MR348255
  5. [5] O.A. Oleinik - A.S. Shamaev - G.A. Yosifian, "Mathematical Problems in Elasticity and Homogenization", North-Holland, Amsterdam, 1992. Zbl0768.73003MR1195131
  6. [6] O.A. Oleinik - T.A. Shaposhnikova, On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary, Rendiconti Lincei, Matematica e Applicazioni71996, 129-146. Zbl0878.35011MR1454408
  7. [7] O.A. Oleinik, "Some Asymptotic problems in the Theory of Partial Differential Equations", Cambridge, University Press., 1996. Zbl1075.35500MR1410755
  8. [8] D. Cioranescu - F. Murat, "Un terme etranger venu d'ailleurs. Nonlinear partial differential equations and their applications", College de France Seminar, v. II, III, edited by H. Brezis, J. L. Lions., Research Notes in Mathematics 60, 70. Pitman, London, 1982, p. 98-138, 154-178. Zbl0496.35030

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