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Introducticm In this paper we shall discuss a certain boundary value problem which generalizes the problem considered in-[l] by B. Bojarski. •1. Some notations Let D be a (m+1) -multiply connected domain bounded by a finite number of simple Lapunow non-intersecting contours L qI L^,...,]^. We denote by L the union of these contours. As usual, the positive direction on L will be taken such that the domain D remains on the left side. We suppose that the curve L Q contains the other curves and thedoi:10.1515/dema-1977-0120 fatcat:6nzqyyxii5b5pjgllrvjvdvsny