The Problem of V. N. Dubinin for Symmetric Multiconnected Domains

We consider a quite general problem from the geometric theory of functions, namely, the problem of finding the maximal value of the product of inner radii of n nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the γ power of the inner radius of a domain containing the origin. The posed problem is solved for n ≥ 20 and 1 < γ ≤ n 2 3 − q n .