no. 8
Partial Differential Equations
Neumann problem for a quasilinear elliptic equation in a varying domain
[Problème de Neumann pour une équation élliptique non lineaire dans un domaine perforé]

Présenté par : Philippe G. Ciarlet

Sango, Mamadou1
1 Department of Mathematics and Applied Mathematics, University of Pretoria/Mamelodi Campus, Pretoria 0002, South Africa
Comptes Rendus. Mathématique, Tome 342 (2006) no. 8, pp. 563-568.

Nous étudions le problème de Neumann pour un opérateur élliptique de type Leray–Lions dans un domaine Ω(s)=Ω\F(s), s=1,2,…, où Ω est un ouvert dans Rn (n⩾3), F(s) est un ensemble fermé situé au voisinage d'une variété differentiable Γ de dimension (n−1) à l'intérieur de Ω. Nous étudions the comportement asymptotique de u(s) quand F(s) converge vers Γ dans un sens approprié.

We investigate the Neumann problem for a nonlinear elliptic operator of Leray–Lions type in Ω(s)=Ω\F(s), s=1,2,…, where Ω is a domain in Rn (n⩾3), F(s) is a closed set located in the neighborhood of a (n−1)-dimensional manifold Γ lying inside Ω. We study the asymptotic behavior of u(s) as s→∞, when the set F(s) tends to Γ.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.02.011
Sango, Mamadou 1

1 Department of Mathematics and Applied Mathematics, University of Pretoria/Mamelodi Campus, Pretoria 0002, South Africa 
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Sango, Mamadou. Neumann problem for a quasilinear elliptic equation in a varying domain. Comptes Rendus. Mathématique, Tome 342 (2006) no. 8, pp. 563-568. doi : 10.1016/j.crma.2006.02.011. http://www.numdam.org/articles/10.1016/j.crma.2006.02.011/

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