On symmetric configurations in some problems on extremal decomposition. II

被引：0
作者：
G. V. Kuz’mina
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute,
来源：
Journal of Mathematical Sciences | 2009年 / 157卷 / 4期
关键词：
Russia; Classical Problem; Extremal Problem; Mathematical Institute; Steklov Mathematical Institute;
D O I：
10.1007/s10958-009-9341-2
中图分类号：
学科分类号：
摘要：
Some problems on extremal decomposition in families of nonoverlapping domains containing systems of biangles with free vertices on a circle are considered. Simultaneously, some progress in solving the classical problem on the maximum of a well-known conformal invariant is achieved. This exhibits the role of symmetric configurations in extremal problems under consideration. Bibliography: 11 titles.
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页码：632 / 645
页数：13
相关论文
共 13 条
[1]  
Kuz’mina G. V.(1997)Methods in geometric function theory. I, II Algebra Analiz 9 41-103
[2]  
Dubinin V. N.(1994)Symmetrization in the geometric theory of functions of a complex variable Usp. Mat. Nauk 49 3-76
[3]  
Dubinin V. N.(2008)On extremal decomposition problems Zap. Nauchn. Semin. POMI 357 54-74
[4]  
Kirillova D. A.(2007)On symmetric configurations in some problems on extremal decomposition Zap. Nauchn. Semin. POMI 350 160-172
[5]  
Kuz’mina G. V.(1985)Some properties of modules of families of curves Zap. Nauchn. Semin. POMI 144 72-82
[6]  
Emel’yanov E. G.(1987)A connection between two problems on extremal decomposition Zap. Nanchn. Semin. POMI 160 91-98
[7]  
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[8]  
Dubinin V. N.(1990)On the question of extremal decomposition of the Riemann sphere Zap. Nauchn. Semin. POMI 185 72-95
[9]  
Kuz’mina G. V.(1997)Theorems on extremal decomposition in families of systems of domains of various types Zap. Nauchn. Semin. POMI 237 74-104
[10]  
Emel’yanov E. G.(1999)Modules and extremal metric pr0blems Algebra Analiz 11 3-86
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