Asymptotic analysis of a class of minimization problems in a thin multidomain

Calculus of Variations and Partial Differential Equations

Volumn 15, Issue 2, 2002, Pages 181-201

  Gaudiello, Antonio ^a   Gustafsson, Björn ^b   Lefter, Catalin ^c   Mossino, Jacqueline ^d  

^a UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^d Paris Descartes University   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036768619     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260100114     Document Type: Article

References (18)

1. E. Acerbi, G. Buttazzo, D. Percivale: A Variational Definition of the Strain Energy for an Elastic String. J. Elasticity 25, (1991), 137-148
2. H. Attouch: Variational Convergence for Functions and Operators. Pitman, London, (1984).
3. M. Boutkrida: Thesis, E.N.S.-Cachan, (1999).
4. M. Boutkrida, J. Mossino: Un problème limite dégénéré pour un multidomaine localement mince. C.R. Acad. Sci. Paris 330, Série I, (2000), 55-60.
5. P.G. Ciarlet: Plates and Junctions in Elastic Multi-Structures: An Asymptotic Analysis. Masson, Paris, (1990).
6. P.G. Ciarlet: Mathematical Elasticity, vol. II: Theory of Plates. Nort-Holland, Amsterdam, (1997).
7. P.G. Ciarlet, P. Destuynder: A Justification of the Two-Dimensional Linear Plate Model. J. Mécanique 18, (1979), 315-344.
8. D. Cioranescu, J. Saint Jean Paulin: Homogenization of Reticulated Structures. Appl. Math. Sc., 139, Springer-Verlag, New-York, (1999).
9. A. Corbo Esposito, P. Donato, A. Gaudiello, C. Picard: Homogenization of the p-Laplacian in a Domain with Oscillating Boundary. Comm. Appl. Nonlinear Anal. 4, (1997), 1-23.
10. G. Dal Maso: An Introduction to Γ-Convergence. Birkhaüser, Boston, (1993).
11. E. De Giorgi, T. Franzoni: Su un tipo di convergenza variazionale. Rend. Sem. Mat. Brescia 3, (1979), 63-101.
12. A. Gaudiello, B. Gustafsson, C. Lefter, J. Mossino: Coupled and Uncoupled Limits for a N-Dimensional Multidomain Neumann Problem. C.R. Acad. Sci. Paris, 330, Série I, (2000), 985-990.
13. J. Heinonen, T. Kilpeläinen, O. Martio: Nonlinear Potential Theory of Degenerate Elliptic Equations. Oxford Clarendon Press, (1993).
14. H. Le Dret: Problèmes Variationnels dans les Multi-Domaines: modélisation des jonctions et applications. Masson, Paris, (1991).
15. H. Le Dret, A. Raoult: The Nonlinear Membrane Model as Variational Limit of Non-linear Three-Dimensional Elasticity. J. Math. Pures Appl. 74, (1995), 549-578.
16. H. Le Dret, A. Raoult: The Membrane Shell Model in Nonlinear Elasticity: a Variational Asymptotic Derivation. J. Nonlinear Sc. 6, (1996), 58-84.
17. F. Murat, A. Sili: Problèmes monotones dans des cylindres de faible diamètre formés de matériaux hétérogènes. C.R. Acad. Sci. Paris 320, Série I, (1995), 1199-1204.
18. L: Tartar: Cours Peccot, Collège de France (1977), partially written in: F. Murat, H-convergence, Séminaire d'analyse fonctionelle et numérique de l'Université d'Alger (1977-1978), english translation in: Mathematical Modelling of Composite Materials. A. Cherkaev and R.V. Kohn editors, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser-Verlag (1997), 21-44.