Publication Cover
Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Some homogenization problems for the system of elasticity with nonlinear boundary conditions in perforated domains

Pages 379-411 | Received 01 Aug 1998, Published online: 20 Jan 2011

References

  • Ekeland , I. and Temam , R. 1976 . Convex Analysis and Variational Problems , Amsterdam : North-Holland .
  • Fichera , G. 1972 . “ Existence theorems in elasticity ” . In Handbuch der Physik , Berlin : Springer-Verlag .
  • Jikov , V.V. and Oleinik , O.A. 1994 . Homogenization of Differential Operators and Integral Functionate , Berlin : Springer-Verlag .
  • Lions , J.-L. 1969 . Quelques Methodes de Resolution des Problèmes aux Limites non Linéaires , Paris : Dunod, Gauthier-Villars .
  • Oleinik , O.A. , Shamaev , A.S. and Yosifian , G.A. 1992 . Mathematical Problems in Elasticity and Homogenization , Amsterdam : North-Holland .
  • Yosifian , G.A. 1998 . Homgenization of the elasticity system in a perforated domain with reaction forces as boundary conditions on the cavities . Dokl. Russian Academy of Sciences , 361 ( 5 )
  • Yosifian , G.A. 1997 . On some homogenization problems in perforated domains with nonlinear boundary conditions . Applicable Analysis , 65 ( 5 ) : 257 – 288 .
  • Yosifian , G.A. 1996 . Homogenization of some boundary value problems in perforated domains with nonlinear boundary conditions . Uspekhi Mat. Nauk , 51 ( 5 ) : 233 – 234 .

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