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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


Puni tekst: engleski pdf 141 Kb

str. 375-388

preuzimanja: 368

citiraj


Sažetak

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).

Ključne riječi

Homogenization, perforated domain, quasilinear elliptic equations, correctors

Hrčak ID:

17949

URI

https://hrcak.srce.hr/17949

Posjeta: 661 *