On nonhomogeneous reinforcements of varying shape and different exponents

Mohamed Boutkrida; Jacqueline Mossino; Gonoko Moussa

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 517-536
  • ISSN: 0392-4041

How to cite

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Boutkrida, Mohamed, Mossino, Jacqueline, and Moussa, Gonoko. "On nonhomogeneous reinforcements of varying shape and different exponents." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 517-536. <http://eudml.org/doc/195030>.

@article{Boutkrida1999,
author = {Boutkrida, Mohamed, Mossino, Jacqueline, Moussa, Gonoko},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Gamma-convergence; thin oscillating layers; transmission conditions; limit problem; boundary reinforcement; -convergence},
language = {eng},
month = {10},
number = {3},
pages = {517-536},
publisher = {Unione Matematica Italiana},
title = {On nonhomogeneous reinforcements of varying shape and different exponents},
url = {http://eudml.org/doc/195030},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Boutkrida, Mohamed
AU - Mossino, Jacqueline
AU - Moussa, Gonoko
TI - On nonhomogeneous reinforcements of varying shape and different exponents
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 517
EP - 536
LA - eng
KW - Gamma-convergence; thin oscillating layers; transmission conditions; limit problem; boundary reinforcement; -convergence
UR - http://eudml.org/doc/195030
ER -

References

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  1. ACERBI, E.- BUTTAZZO, G., Reinforcement problems in the calculus of variations, Ann. Inst. Henri Poincaré, 3, no 4 (1986), 273-284. Zbl0607.73018MR853383
  2. ATTOUCH, H., Variational Convergence for Functions and Operators, Pitman, London (1984). Zbl0561.49012MR773850
  3. BOUTKRIDA, M.- MOSSINO, J.- MOUSSA, G., On nonhomogeneous reinforcements of varying shape and different exponents, C. R. Acad. Sci. Paris, 325, Série I (1997), 565-570; see also Preprint N. 9704, C.M.L.A., E.N.S. Cachan, France. Zbl0894.49007
  4. BOUTKRIDA, M.- MOSSINO, J.- MOUSSA, G., On the torsional rigidity problem with nonhomogeneous reinforcement, in preparation. Zbl0951.74051
  5. BOUTKRIDA, M., Doctoral Thesis, Ecole Normale Supérieure de Cachan, France, to be defended. 
  6. BREZIS, H., Analyse fonctionnelle, Théorie et Applications, Masson, Paris (1983). Zbl0511.46001MR697382
  7. BREZIS, H.- CAFFARELLI, L. A.- FRIEDMAN, A., Reinforcement problems for elliptic equations and variational inequalities, Ann. Mat. Pura ed Appl., 4, 123 (1980), 219-246. Zbl0434.35079MR581931
  8. BUTTAZZO, G.- KOHN, R. V., Reinforcement by a thin layer with oscillating thickness, Appl. Math. Optim., 16 (1987), 247-261. MR901816
  9. BUTTAZZO, G.- DAL MASO, G.- MOSCO, U., Asymtotic behaviour for Dirichlet problems in domains bounded by thin layers, in Essays in Honor of Ennio De Giorgi, Birkhaüser, Boston (1989), 193-249. Zbl0699.35062MR1034006
  10. DAL MASO, G., An Introduction to Γ -convergence, Birkhäuser, Boston (1993). Zbl0816.49001MR1201152
  11. DE GIORGI, E., Convergence problems for functionals and operators, Proc. Recent Methods in Nonlinear Analysis, Rome, 1978 (E. DE GIORGI - E. MAGENES - U. MOSCO - J. L. LIONS, eds.), Pitagora, Bologna (1979), 131-188. Zbl0405.49001MR533166
  12. MOUSSA, G., Doctoral Thesis, Ecole Normale Supérieure de Cachan, France (1998). 
  13. SANCHEZ-PALENCIA, E., Problèmes de perturbations liés aux phénomènes de conduction à travers des couches minces de grande résistivité, J. de Math. Pures et Appliquées, 53 (9) (1974), 251-269. Zbl0273.35007MR364917
  14. SANCHEZ-PALENCIA, E., Nonhomogeneous Media and Vibration Theory, Lectures Notes in Physics, Springer Verlag, Berlin (1980). Zbl0432.70002MR578345

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