This is a preview of subscription content, log in via an institution to check access.
Literature Cited
S. L. Krushkal', “Some extremal problems for schlicht analytic functions,” Dokl. Akad. Nauk SSSR,182, No. 4, 754–757 (1968).
S. L. Krushkal', “Some extremal problems for conformal and quasiconformal mappings,” Sibirsk. Matem. Zh.,12, No. 4, 750–774 (1971).
I. A.; Aleksandrov, “Domains of values of systems of functionals,” Trudy Tomsk. Univ.,182, 59–70 (1965).
G. M. Goluzin, “Some problems of the theory of schlicht functions,” Trudy Matem. Inst. Akad. Nauk SSSR,27, 1–109 (1949).
M. A. Lavrent'ev, “On the theory of conformal mappings,” Trudy Fiz.-Matem. Inst. Akad. Nauk SSSR,5, 195–246 (1934).
A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, Amer. Math. Soc. Colloq. Publ. No. 35, Amer. Math. Soc. Providence (1950).
M. Schiffer and D. C. Spencer, Functionals on Finite Riemannian Surfaces [Russian translation], IL, Moscow (1957).
M. A. Lavrent'ev, Variational Methods for Boundary Problems for Systems of Elliptic Equations [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).
P. A. Biluta, “On the solution of extremal problems for a class of quasiconformal mappings,” Sibirsk. Matem. Zh.,10, No. 4, 734–743 (1969).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 5, pp. 1067–1076, September–October, 1971.
Rights and permissions
About this article
Cite this article
Krushkal', S.L. On the connection between variational problems for conformal and quasiconformal mappings. Sib Math J 12, 769–776 (1971). https://doi.org/10.1007/BF00966514
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966514