Comptes Rendus
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

Michel Chipot1 ; Yitian Xie1
1 University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland
Comptes Rendus. Mathématique, Volume 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
Michel Chipot 1 ; Yitian Xie 1

1 University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland 
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Michel Chipot; Yitian Xie. On the asymptotic behaviour of elliptic problems with periodic data. Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 477-482. doi : 10.1016/j.crma.2004.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.007/

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

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

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

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

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

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

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

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