Abstract

In this paper we are To discuss the compound boundary value problem with Haseman. Haseman type, Carleman, Carleman type boundary conditions for nonlinear uniformly elliptic complex equations of first order in the multiply connected domain. The solvability of the above compound boundary value problem, is proved by theorems of conformal gluing, the method of elimination, some a priori estimations of the solutions and the Leray-Schauder theorem. The results obtained are the generalization of the corresponding theorems in Refs. [1], [2] and [4].

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