Literature Cited
F. W. Gehring and T. Väisälä, “The coefficients of quasiconformality of domains in space,” Acta Math.,114, 1–70 (1965).
Kari Hag and M. Vamanamurthy, “The coefficients of quasiconformality of cones in space,” Ann. Acad. Sci. Fenn. Ser. Al,3, No. 2, 267–275 (1977).
V. I. Semenov, “Necessary conditions in extremal problems for spatial quasiconformal maps,” Sib. Mat. Zh.,21, No. 5, 70–77 (1980).
V. I. Semenov, “Sufficient conditions for extremal quasiconformal maps in space,” Sib. Mat. Zh.,22, No. 3, 222–224 (1981).
Yu. G. Reshetnyak, “Maps with bounded distortion as extremals of Dirichlet type integrals,” Sib. Mat. Zh.,9, No. 3, 652–666 (1968).
S. L. Sobolev, Introduction to the Theory of Cubature Formulas [in Russian], Nauka, Moscow (1974).
Ju. Väisälä, “Lectures on n-dimensional quasiconformal mappings,” Lect. Notes Math.,229, 1–144 (1971).
L. Ahlfors, Lectures on Quasiconformal Maps, Van Nostrand Reinhold, Ohio (1966).
S. Agard, “On the extremality of affine mappings with small dilatation,” Ann. Acad. Sci. Fenn. Ser. Al,6, 95–111 (1981).
L. Ahlfors, “A somewhat new approach to quasiconformal mappings in Rn,” Lect. Notes Math.,599, 1–6 (1977).
Additional information
Kemerovo. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 202–204, January–February, 1990.
Rights and permissions
About this article
Cite this article
Semenov, V.I., Sheenko, S.I. Extremal problems in the theory of quasiconformal mappings. Sib Math J 31, 171–173 (1990). https://doi.org/10.1007/BF00971166
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00971166