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


Abstract


In this article we take the nonhomogeneous Vekua equation

w_{z}=Aw+Bw+F , z?D

subject to the conditions

Rew?_{?D}=? , ??C^{?}(?D) Imw(z?)=c? , z??D.

where . We want to derive the conditions under which the solution exists in Wiener-type domains.


Keywords


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

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