no. 7
Partial Differential Equations
On the asymptotic behaviour of elliptic problems with periodic data
[Sur le comportement asymptotique de problèmes elliptiques à données périodiques.]

Présenté par : Philippe G. Ciarlet

Chipot, Michel1 ; Xie, Yitian1
1 University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland
Comptes Rendus. Mathématique, Tome 339 (2004) no. 7, pp. 477-482.

On s'intéresse au comportement asymptotique de la solution de problèmes elliptiques à données périodiques lorsque la taille de l'ouvert sur lequel le problème est posé devient infinie.

We study the asymptotic behaviour of the solution of elliptic problems with periodic data when the size of the domain on which the problem is set becomes unbounded.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.09.007
Chipot, Michel 1 ; Xie, Yitian 1

1 University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland 
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Chipot, Michel; Xie, Yitian. On the asymptotic behaviour of elliptic problems with periodic data. Comptes Rendus. Mathématique, Tome 339 (2004) no. 7, pp. 477-482. doi : 10.1016/j.crma.2004.09.007. http://www.numdam.org/articles/10.1016/j.crma.2004.09.007/

[1] Chipot, M. ℓ Goes to Plus Infinity, Birkhäuser, 2002

[2] M. Chipot, Y. Xie, in preparation

[3] M. Chipot, Y. Xie, in preparation

[4] Cioranescu, D.; Donato, P. An Introduction to Homogenization, Oxford Lecture Series, vol. 17, Oxford University Press, 1999

[5] Dautray, R.; Lions, J.L. Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, 1988

[6] Gilbarg, D.; Trudinger, N.S. Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983

[7] Meier, M. Liouville Theorems for nonlinear elliptic equations and systems, Manuscripta Math., Volume 29 (1979), pp. 207-228

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