Abstract
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.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 115–128, 1985.
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Kuz'mina, G.V. The modulus problem for families of classes of curves in a circular annulus. J Math Sci 38, 2114–2124 (1987). https://doi.org/10.1007/BF01474445
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DOI: https://doi.org/10.1007/BF01474445