Geodesic
An extremal metric approach to some problems on extremal decomposition
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 191-211 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper presents a simple extremal metric approach to problems on extremal decomposition in families of systems of nonoverlapping domains of different types. The approach is based on using general properties of trajectories of the associated quadratic differentials for simpler extremal decomposition problems. Bibliography: 8 titles. 
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     title = {An extremal metric approach to some problems on extremal decomposition},
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G. V. Kuz'mina. An extremal metric approach to some problems on extremal decomposition. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 191-211. http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a10/

[1] G. V. Kuzmina, “Metody geometricheskoi teorii funktsii, I, II”, Algebra i analiz, 9:3 (1997), 41–103 | MR

[2] V. N. Dubinin, “Simmetrizatsiya v teorii funktsii kompleksnogo peremennogo”, Uspekhi mat. nauk, 49:1 (1994), 3–76 | MR | Zbl

[3] V. N. Dubinin, “Metod simmetrizatsii i transfinitnyi diametr”, Sib. mat. zh., 27:2 (1986), 39–46 | MR | Zbl

[4] V. N. Dubinin, “Razdelyayuschee preobrazovanie oblastei i zadachi ob ekstremalnom razbienii”, Zap. nauchn. semin. POMI, 168, 1988, 48–66 | MR | Zbl

[5] E. G. Emelyanov, “O svyazi dvukh zadach ob ekstremalnom razbienii”, Zap. nauchn. semin. POMI, 160, 1987, 91–98 | MR

[6] G. V. Kuzmina, “Moduli semeistv krivykh i kvadratichnye differentsialy”, Tr. Mat. in-ta AN SSSR, 139, 1980, 3–241 | MR

[7] G. V. Kuzmina, “Metod ekstremalnoi metriki v zadachakh o maksimume proizvedeniya stepenei konformnykh radiusov nenalegayuschikh oblastei pri nalichii svobodnykh parametrov”, Zap. nauchn. semin. POMI, 302, 2003, 52–67 | MR

[8] G. V. Kuzmina, “O svyazi razlichnykh zadach ob ekstremalnom razbienii”, Zap. nauchn. semin. POMI, 254, 1998, 116–131 | MR