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

Applicable Analysis

Volumn 71, Issue 1-4, 1998, Pages 379-411

  Yosifian, G A ^a  

^a INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

Author keywords

convergence; elliptic equations; homogenization; Perforated domains

Indexed keywords

EID: 84963946543     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819908840723     Document Type: Article

References (8)

1. Ekeland, I., and Temam, R., 1976. Convex Analysis and Variational Problems, Amsterdam: North-Holland.
2. Fichera, G., 1972. “ Existence theorems in elasticity ”. In Handbuch der Physik, Berlin: Springer-Verlag.
3. Jikov, V.V., and Oleinik, O.A., 1994. Homogenization of Differential Operators and Integral Functionate, Berlin: Springer-Verlag.
4. Lions, J.-L., 1969. Quelques Methodes de Resolution des Problèmes aux Limites non Linéaires, Paris: Dunod, Gauthier-Villars.
5. Oleinik, O.A., Shamaev, A.S., and Yosifian, G.A., 1992. Mathematical Problems in Elasticity and Homogenization, Amsterdam: North-Holland.
6. 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)
7. Yosifian, G.A., 1997. On some homogenization problems in perforated domains with nonlinear boundary conditions. Applicable Analysis, 65 (5): 257–288.
8. Yosifian, G.A., 1996. Homogenization of some boundary value problems in perforated domains with nonlinear boundary conditions. Uspekhi Mat. Nauk, 51 (5): 233–234.