On Homogenization of Solutions of Boundary Value Problems in Domains, Perforated Along Manifolds

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 25, Issue 3-4, 1997, Pages 611-629

  Lobo, M ^a   Oleinik, O A ^b   Perez, M E ^a   Shaposhnikova, T A ^b  

^a UNIVERSITY OF CANTABRIA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038470603     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. V. A. MARCHENKO - E. Y A. KHRUSLOV, "Boundary problems with a finely grenulated boundaries", Naukova Dumka, Kiev, 1974.
2. O. A. OLEINIK - T. A. SHAPOSHNIKOVA, On homogenization of the biharmonic equation in a domain, perforated along manifolds of a small dimension. Differential equations 6 (1 9 9 6), 8 3 0 - 8 4 2.
3. M. LOBO - O. A. O L E I N I K - M. E. PEREZ - T. A. SHAPOSHNIKOVA, On boundary value problems in a domain, perforated along manifolds, Russian Math.Survey 52 (4) 1997.
4. E. D E GIORGI - S. SPAGNOLO, Sulla convergenza degli integrali dell'energia per operatori elliptici del secondo ordine, Boll. Unione Mat. Ital. 8 (1973), 3 9 1 - 4 1 1.
5. O. A. OLEINIK - A. S. SHAMAEV - G. A. YOSIFIAN, "Mathematical Problems in Elasticity and Homogenization", North-Holland, Amsterdam, 1992.
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 Applicazioni 7 1996, 129-146.
7. O. A. OLEINIK, "Some Asymptotic problems in the Theory of Partial Differential Equations", Cambridge, University Press., 1996.
8. D. CiORANESCU - F. MuRAT, "Un terme étranger venu d'ailleurs. Nonlinear partial differential equations and their applications". College de France Seminar, v. I I, I I I, edited by H. Brezis, J. L. Lions., Research Notes in Mathematics 60, 70. Pitman, London, 1982, p. 98-138, 154-178.