Some problems on extremal decomposition in families of non overlapping domains containing systems of biangles with distinguished vertices are considered. The present work continues earlier author’s investigations. Bibliography: 8 titles.
Similar content being viewed by others
References
G. V. Kuz’mina, “On symmetric configurations in some problems on extremal decomposition. I,” Zap. Nauchn. Semin. POMI, 350, 160–172 (2007).
G. V. Kuz’mina, “On symmetric configurations in some problems on extremal decomposition. II,” Zap. Nauchn. Semin. POMI, 357, 158–179 (2008).
E. G. Emel’yanov, “A connetion between two problems on extremal decomposition,” Zap. Nauchn. Semin. POMI, 168, 48–66 (1987).
G. V. Kuz’mina, “On the question on extremal decomposition of the Riemann sphere,” Zap. Nauchn. Semin. POMI, 185, 72–95 (1990).
V. N. Dubinin, “Separating deformation of domains and problems on extremal decomposition,” Zap. Nauchn. Semin. POMI, 168, 48–66 (1988).
E. G. Emel’yanov and G. V. Kuz’mina, “Theorems on extremal decomposition in families of systems of domains of various types,” Zap. Nauchn. Semin. POMI, 237, 74–104 (1997).
A. Yu. Solynin, “Modules and extremal metric problems,” Algebra Analiz, 11, No. 1, 3–86 (1999).
L. I. Kolbina, “Some extremal problems in conformal mapping,” Dokl. Akad. Nauk SSSR, 84, 865–868 (1952).
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to the 80th anniversary of Igor’ Petrovich Mityuk’s birthday
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 371, 2009, pp. 117–136.
Rights and permissions
About this article
Cite this article
Kuz’mina, G.V. On symmetric configurations in some problems on extremal decomposition. III. J Math Sci 166, 191–202 (2010). https://doi.org/10.1007/s10958-010-9859-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-010-9859-3