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A Boundary Value Problem for Nonhomogeneous Vekua Equation in Wiener-type Domains

Author(s): Kerim Koca | Okay Çelebi

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 8;
Issue: 2;
Start page: 71;
Date: 2007;
Original page

Keywords: Generalized analytic functions | solutions in Wiener sense | Wiener-type domain | capacity | non-homogeneous Vekua equations.

In this article we take the nonhomogeneous Vekua equation w_{z}=Aw+Bw+F , z∈Dsubject to the conditions Rew∣_{∂D}=ϕ , ϕ∈C^{α}(∂D) Imw(z₀)=c₀ , z₀∈D.where . We want to derive the conditions under which the solution exists in Wiener-type domains.
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