Skip to main content
Log in

On an extremal problem for quasiconformal mappings of finitely connected domains

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. G. M. Goluzin, “Some questions of the theory of single-sheeted functions,” Tr. Matem. In-ta Akad. Nauk SSSR,27 (1949).

  2. I. A. Aleksandrov and A. S. Sorokin, “On the extension of the Goluzin-Kufarev variational method to multiply connected domains,” Dokl. Akad. Nauk SSSR,175, No. 6, 1207–1210 (1967).

    Google Scholar 

  3. A. S. Sorokin, “Extension of the variational theorem of Kufarev to multiply connected domains,” in: Questions of the Geometrical Theory of Functions [in Russian], No. 4, Tomsk (1966), pp. 221–239.

  4. A. S. Sorokin, “Extension of the Goluzin-Kufarev variational method to multiply connected domains,” Candidate's Dissertation [in Russian], Tomsk (1967).

  5. P. A. Viluta and S. L. Krushkal', “On extremal quasiconformal mappings,” Dokl. Akad. Nauk SSSR,196, No. 2, 259–262 (1971).

    Google Scholar 

  6. S. L. Krushkal', “On the theory of extremal problems for quasiconformal mappings of closed Riemannian surfaces,” Dokl. Akad. Nauk SSSR,171, No. 4, 784–787 (1966).

    Google Scholar 

  7. S. L. Krushkal', “On Teichmüller's theorem on extremal quasiconformal mappings,” Sib. Matem. Zh.,8, No. 2, 313–332 (1967).

    Google Scholar 

  8. S. L. Krushkal', “Some extremal problems for conformal and quasiconformal mappings,” Sib. Matem. Zh.,12, No. 4, 760–784 (1971).

    Google Scholar 

  9. P. A. Viluta, “On the solution of extremal problems for a class of quasiconformal mappings,” Sib. Matem. Zh.,10, No. 4, 734–743 (1969).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 1, pp. 24–33, January–February, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Viluta, P.A. On an extremal problem for quasiconformal mappings of finitely connected domains. Sib Math J 13, 16–22 (1972). https://doi.org/10.1007/BF00967633

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967633

Keywords

Navigation