Glasnik matematički, Vol. 42 No. 2, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.2.11
Quasilinear Dirichlet problem in a periodically perforated domain
L. Boukrim
; Université Moulay Ismail, F.S.T.E, BP509 Boutalamine Errachidia, Maroc
A. Hakim
; Université Cadi Ayyad, F.S.T.G, BP 549 Av. Abdelkrim Khattabi Marrakech, Maroc
T. Mekkaoui
; Université Moulay Ismail, F.S.T.E, BP509 Boutalamine Errachidia, Maroc
Abstract
Consider the following quasilinear Dirichlet problem (Pε)
-Δp uε = fε in Ωε = Ω \ Tε
uε = 0 on ∂ Ωε
where 1 < p ≤ 2, (fε) a sequence of functions in Lp'(Ω) such that fε → f in Lp'(Ω) where p' is the conjugate of p, Ω is a bounded domain in RN (N ≥ 2) and Tε the union of inclusions contained in Ω which are ε-periodically distributed. In this paper we give the limit problem and errors estimates for the problem (Pε).
Keywords
Homogenization; perforated domain; quasilinear elliptic equations; correctors
Hrčak ID:
17949
URI
Publication date:
11.12.2007.
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