The modulus problem for families of classes of curves in a circular annulus

Earlier, the author has considered the extremal metric problem for the families of several homotopic classes of curves in the closed plane ¯C or in a simply connected domain in ¯C. In this paper, these results are extended to the case of the modulus problem for families of classes of curves in a doubly connected domain.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 115–128, 1985.