Skip to main content
SpringerLink
Log in

Stability in Liouville's theorem on conformal mappings of a space for domains with nonsmooth boundary

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. Yu. G. Reshetnyak, “Spatial maps with bounded distortion,” Sibirsk. Matem. Zh.,8, No. 3, 629–658 (1967).

    Google Scholar 

  2. G. Reshetnyak “Spatial maps with bounded distortion,” in: International Congress of Mathematicians in Nice, 1970. Reports of Soviet Mathematicians [in Russian], Nauka, Moscow (1972), pp. 258–263.

    Google Scholar 

  3. Yu. G. Reshetnyak, “Liouville's theorem on conformal maps under minimal assumptions of regularity,” Sibirsk. Matem. Zh.,8, No. 4, 835–840 (1967).

    Google Scholar 

  4. M. A. Lavrent'ev, “Stability in Liouville's theorem,” Dokl. Akad. Nauk SSSR,95, 925–926 (1954).

    Google Scholar 

  5. Yu. G. Reshetnyak, “Stability in Liouville's theorem on conformal maps of space,” in: Some Problems of Mathematics and Mechanics. For the 60th Birthday of Academician M. A. Lavrent'ev [in Russian], Izd. Sibirsk. Otd. Akad. Nauk SSSR, Novosibirsk (1961), pp. 219–223.

    Google Scholar 

  6. P. P. Belinskii, “Stability in Liouville's theorem on spatial conformal, maps,” in: Some Problems of Mathematics and Mechanics. For the 70th Birthday of Academician M. A. Lavrent'ev [in Russian], Nauka, Leningrad (1971), pp. 88–101.

    Google Scholar 

  7. F. John, “Rotation and strain,” Communs Pure and Appl. Math.,4, 391–414 (1961).

    Google Scholar 

  8. V. M. Gol'dshtein, “On the behavior of maps with bounded distortion for distortion coefficient close to one,” Sibirsk. Matem. Zh.,12, No. 6, 1250–1258 (1971).

    Google Scholar 

  9. F. W. Gehring, “The Carathéodory convergence theorem for quasiconformal mappings in space,” Ann. Acad. Sci. Fenn. Ser. A I, 336/11, 1–27 (1963).

    Google Scholar 

  10. O. Martio, S. Rickman, and J. Väisälä, “Topological and metric properties of quasiregular mappings,” Ann. Acad. Sci. Fenn. Ser. A I, 488, 1–31 (1971).

    Google Scholar 

Download references

Authors
  1. Yu. G. Reshetnyak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 2, pp. 361–369, March–April, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reshetnyak, Y.G. Stability in Liouville's theorem on conformal mappings of a space for domains with nonsmooth boundary. Sib Math J 17, 281–288 (1976). https://doi.org/10.1007/BF00967574

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967574

Keywords

Search

Navigation