Geodesic
Some geometrical properties of extremal decompositions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 121-135

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Problems on the maximum of the product of conformal radii powers for nonoverlapping simply connected domains are considered. It is proved that the bound of each domain of the extremal decomposition in certain cases is some Jordan curve. 
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     author = {V. O. Kuznetsov},
     title = {Some geometrical properties of extremal decompositions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {121--135},
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     volume = {418},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a7/}
}
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V. O. Kuznetsov. Some geometrical properties of extremal decompositions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 121-135. http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a7/