Siberian Mathematical Journal

, Volume 28, Issue 1, pp 59–63 | Cite as

Variational method for quasiconformal mappings

  • V. Ya. Gutlyanskii
  • V. I. Ryazanov
Article

Keywords

Variational Method Quasiconformal Mapping 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    P. P. Belinskii, “Solution of extremal problems of the theory of quasiconformal mappings by variational method,” Sib. Mat. Zh.,1, No. 3, 303–330 (1960).Google Scholar
  2. 2.
    P. A. Biluta, “On the solution of extremal problems for a class of quasiconformal mappings,” sib. Mat. Zh.,10, No. 4, 734–743 (1969).Google Scholar
  3. 3.
    M. Schiffer and J. Schober, “A variational method for general families of quasiconformal mappings,” J. Anal. Math.,34, 240–264 (1978).Google Scholar
  4. 4.
    V. Ya. Gutlyanskii, “On a variational method for univalent analytic functions with quasiconformal extension,” Sib. Mat. Zh.,21, No. 2, 61–78 (1980).Google Scholar
  5. 5.
    S. L. Krushkal', Quasiconformal Mappings and Riemann Surfaces [in Russian], Nauka, Novosibirsk (1975).Google Scholar
  6. 6.
    V. I. Ryazanov, “A variational method for general classes of quasiconformal mappings,” Dokl. Akad. Nauk Ukr. SSR, No. 8, 25–28 (1982).Google Scholar
  7. 7.
    L. V. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, Princeton (1966).Google Scholar
  8. 8.
    J. Schawder, “Der Fixpunktsatz in Funktionalräumen,” Studia Math.,2, 71–80 (1930).Google Scholar
  9. 9.
    Ch. Pommerenke, Univalent Functions, Vandenhoeck und Ruprecht, Göttingen (1975).Google Scholar
  10. 10.
    K. Strebel, “Ein Konvergensatz für Folgen quasiconformen Abbildungen,” Comment. Math. Helv.,44, 469–475 (1969).Google Scholar
  11. 11.
    I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).Google Scholar
  12. 12.
    L. Schwartz, Analysis [Russian translation], Vol. 1, Mir, Moscow (1972).Google Scholar
  13. 13.
    S. Saks, Theory of the Integral, Dover, New York (1964).Google Scholar
  14. 14.
    P. P. Belinskii, General Properties of Quasiconformal Mappings [in Russian], Nauka, Novosibirsk (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • V. Ya. Gutlyanskii
  • V. I. Ryazanov

There are no affiliations available

Personalised recommendations