Article PDF
Avoid common mistakes on your manuscript.
References
Attouch, H.,Variational Convergence for Functions and Operators, Pitman, London, 1984.
Attouch, H. andButtazzo, G., Homogenization of reinforced periodic one codimensional structures,Ann. Scuola Norm. Sup. Pisa Cl. Sci. 24 (1987), 465–484.
Bensoussan, A., Lions, J. L. andPapanicolaou, G.,Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, 1978.
Chabi, E.,Homogénéisation de matériaux composites de forte conductivité, Publication AVAMAC de Perpignan-France, 1985, No 13.
De Giorgi, E., Convergence problems for functionals and operators, inProceedings of the International Meeting on Recent Methods in Non Linear Analysis, Rome May 8–12, 1978 (De Giorgi, E., Magenes, E., Mosco, U., eds.), pp. 131–188, Pitagora, Bologna, 1979.
Federer, H.,Geometric Measure Theory, Springer-Verlag, Berlin-Heidelberg, 1969.
Gustafsson, B., Mossino, J. andPicard, C., Homogenization of a conductivity coefficient in an annulus,C. R. Acad. Sci. Paris Sér. I. Math. 309 (1989), 239–244.
Gustafsson, B., Mossino, J. andPicard, C., Homogenization of foliated annuli,Ann. Mat. Pura Appl. 162 (1992), 87–104.
Gustafsson, B., Mossino, J. andPicard, C., Limit behavior of some stratified structures with high conductivity, inProgress in Partial Differential Equations: Calculus of Variations, Applications (Bandle, C., Bemelmans, J., Chipot, M., Grüter, M., Saint Jean Paulin, J., eds.),Pitman Research Notes Math. 267, pp. 187–199, Longman, Harlow, England, 1992.
Lions, J. L.,Quelques méthodes de résolution de problèmes aux limites non linéaires, Dunod, Paris, 1969.
Murat, F.,H-convergence, Séminaire d'Analyse Fonctionelle et Numérique de l'Université d'Alger, 1977–78, multigraphié.
Spagnolo, G., Sulla convergenza di solutioni di equazioni paraboliche ed ellittiche,Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22 (1968), 571–597.
Tartar, L., Remarks on homogenization, inHomogenization and Effective Moduli of Materials and Media (Ericksen, J. L., Kinderlehrer, D., Kohn, R., Lions, J. L., eds.), pp. 228–246, Springer-Verlag, Berlin-Heidelberg, 1986.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gustafsson, B., Mossino, J. & Picard, C. Stratified materials allowing asymptotically prescribed equipotentials. Ark. Mat. 32, 293–307 (1994). https://doi.org/10.1007/BF02559574
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02559574