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Variational method for quasiconformal mappings

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Literature Cited

  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. 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. M. Schiffer and J. Schober, “A variational method for general families of quasiconformal mappings,” J. Anal. Math.,34, 240–264 (1978).

    Google Scholar 

  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. S. L. Krushkal', Quasiconformal Mappings and Riemann Surfaces [in Russian], Nauka, Novosibirsk (1975).

    Google Scholar 

  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. L. V. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, Princeton (1966).

    Google Scholar 

  8. J. Schawder, “Der Fixpunktsatz in Funktionalräumen,” Studia Math.,2, 71–80 (1930).

    Google Scholar 

  9. Ch. Pommerenke, Univalent Functions, Vandenhoeck und Ruprecht, Göttingen (1975).

    Google Scholar 

  10. K. Strebel, “Ein Konvergensatz für Folgen quasiconformen Abbildungen,” Comment. Math. Helv.,44, 469–475 (1969).

    Google Scholar 

  11. I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  12. L. Schwartz, Analysis [Russian translation], Vol. 1, Mir, Moscow (1972).

    Google Scholar 

  13. S. Saks, Theory of the Integral, Dover, New York (1964).

    Google Scholar 

  14. P. P. Belinskii, General Properties of Quasiconformal Mappings [in Russian], Nauka, Novosibirsk (1974).

    Google Scholar 

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Donetsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 1, pp. 81–85, January–February, 1987.

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Gutlyanskii, V.Y., Ryazanov, V.I. Variational method for quasiconformal mappings. Sib Math J 28, 59–63 (1987). https://doi.org/10.1007/BF00970209

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  • DOI: https://doi.org/10.1007/BF00970209

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