Geodesic
Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 199-213
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Problems on extremal decomposition in which the associated quadratic differentials possess indicated property are solved. The results obtained supplement the classical results in problems under consideration. 
@article{ZNSL_2012_404_a11,
     author = {G. V. Kuz'mina},
     title = {Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {199--213},
     year = {2012},
     volume = {404},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a11/}
}
TY  - JOUR
AU  - G. V. Kuz'mina
TI  - Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 199
EP  - 213
VL  - 404
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a11/
LA  - ru
ID  - ZNSL_2012_404_a11
ER  - 
%0 Journal Article
%A G. V. Kuz'mina
%T Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 199-213
%V 404
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a11/
%G ru
%F ZNSL_2012_404_a11
G. V. Kuz'mina. Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 199-213. http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a11/

[1] E. G. Emelyanov, G. V. Kuzmina, “Teoremy ob ekstremalnom razbienii v semeistvakh sistem oblastei razlichnykh tipov”, Zap. nauchn. semin. POMI, 237, 1997, 74–104 | MR | Zbl

[2] A. Yu. Solynin, “Moduli i ekstremalno-metricheskie problemy”, Algebra i analiz, 11:1 (1999), 3–86 | MR | Zbl

[3] G. V. Kuzmina, “Metody geometricheskoi teorii funktsii. II”, Algebra i analiz, 9:5 (1997), 1–50 | MR | Zbl

[4] L. I. Kolbina, “Nekotorye ekstremalnye zadachi v konformnom otobrazhenii”, Dokl. AN SSSR, 84 (1952), 865–868 | MR | Zbl

[5] J. A. Jenkins, “A recent note of Kolbina”, Duke Math. J., 21 (1954), 155–162 | DOI | MR | Zbl

[6] J. A. Jenkins, Univalent functions and conformal mapping, Ergeb. Math. Grenzgeb (N.F.), 18, Springer-Verlag, 1958 ; 2nd ed. corrected, 1965; Dzh. Dzhenkins, Odnolistnye funktsii i konformnye otobrazheniya, M., 1962 | MR | Zbl

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

[8] G. V. Kuzmina, “K zadache o maksimume proizvedeniya konformnykh radiusov nenalegayuschikh oblastei”, Zap. nauchn. semin. LOMI, 100, 1980, 131–145 | MR | Zbl

[9] S. I. Fedorov, “O maksimume odnogo konformnogo invarianta v zadache o nenalegayuschikh oblastyakh”, Zap. nauchn. semin. LOMI, 112, 1981, 172–183 | MR | Zbl

[10] G. V. Kuzmina, “K voprosu ob ekstremalnom razbienii rimanovoi sfery”, Zap. nauchn. semin. POMI, 185, 1990, 72–95 | MR | Zbl

[11] V. N. Dubinin, Emkosti kondensatorov i simmetrizatsiya v geometricheskoi teorii funktsii kompleksnogo peremennogo, Vladivostok, 2009

[12] E. G. Emelyanov, “Konformno-invariantnye funktsionaly na rimanovoi sfere”, Zap. nauchn. semin. POMI, 276, 2001, 134–154 | MR | Zbl

[13] E. G. Emelyanov, “K zadache o maksimume proizvedeniya stepenei konformnykh radiusov nenalegayuschikh oblastei”, Zap. nauchn. semin. POMI, 286, 2002, 103–114 | MR | Zbl

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

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