Geodesic
The module problem for families of classes of curves in a circular ring
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 115-127

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Earlier, the author has considered the extremal metric problem for the families of several homotopic classes of curves in the closed plane $\bar{ \mathbb{C} }$ or in a simply connected domain in $\bar{ \mathbb{C} }$. 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. 
@article{ZNSL_1985_144_a10,
     author = {G. V. Kuz'mina},
     title = {The module problem for families of classes of curves in a circular ring},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {115--127},
     publisher = {mathdoc},
     volume = {144},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a10/}
}
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G. V. Kuz'mina. The module problem for families of classes of curves in a circular ring. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 115-127. http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a10/