Abstract
(1. 1) (1 + 2)oxx 2oxy4xy + (1 + ox)lo = 0. In this paper we deal with another kind of boundary value problem for the same equation. We are looking for a solution defined in a domain exterior to a simple closed curve P, possessing at the point at infinity a singularity, having on TP continuous partial derivatives, and satisfying either of the homogeneous boundary conditions (1.2) W: a4/9n = 0, 3: 4 = 0 on 'P. We shall not require, in general, that 45(x, y) be single-valued, but shall assume that (1.3) w = oxic/ is. We shall also prescribe the value of (1.4) qmax = max I w|. It will be convenient to associate with every solution of (1.1) the function (2)
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