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On the number of omitted values of entire quasiregular mappings

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References

  1. F. W. Gehring,Symmetrization of rings in space, Trans. Amer. Math. Soc.101 (1961), 499–519.

    Article  MATH  MathSciNet  Google Scholar 

  2. O. Martio,Equicontinuily theorem with an application to variational integrals, Duke Math. J.42 (1975), 569–581.

    Article  MATH  MathSciNet  Google Scholar 

  3. O. Martio, S. Rickman and J. VÄisÄlÄ,Definitions for quasiregular mappings, Ann. Acad. Sci. Fenn. AI448 (1969), 1–40.

    Google Scholar 

  4. O. Martio, S. Rickman and J. VÄisÄlÄ,Distortion and singularities of quasiregular mappings, Ann. Acad. Sci. Fenn. AI465 (1970), 1–13.

    Google Scholar 

  5. P. Mattila and S. Rickman,Averages of the counting function of a quasiregular mapping, Acta Math., to appear.

  6. V. Mazja,On the continuity at a boundary point of the solution of quasi-linear elliptic equations (Russian), Vestnik Leningrad. Univ.25 no. 13 (1970), 42–55.

    MathSciNet  Google Scholar 

  7. J. G. Resetnjak,Set of singular points of solutions of certain non-linear elliptic equations (Russian), Sibirsk. Mat. Z.9 (1968), 354–367.

    MathSciNet  Google Scholar 

  8. J. G. Resetnjak,Index boundedness condition for mappings with bounded distortion (Russian), Sibirsk. Mat. Z.9 (1968), 368–374.

    MathSciNet  Google Scholar 

  9. J. G. Resetnjak,Mappings with bounded distortion as extremals of Dirichlet type integrals (Russian), Sibirsk. Mat. Z.9 (1968), 652–666.

    MathSciNet  Google Scholar 

  10. J. G. Resetnjak,Extremal properties of mappings with bounded distortion (Russian), Sibirsk. Mat. Z.10 (1969), 1300–1310.

    MathSciNet  Google Scholar 

  11. S. Rickman,Path lifting for discrete open mappings, Duke Math. J.40 (1973), 187–191.

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Rickman,On the value distribution of quasimeromorphic maps, Ann. Acad. Sci. Fenn. AI2 (1976), 447–466.

    MathSciNet  Google Scholar 

  13. S. Rickman,Properties of the counting function of a quasiregular mapping, Proc. of the First Finnish-Polish Summer School in Complex Analysis at Podlesice, 1977, part II, 1–10, University of Yódź, Yódź, 1978.

    Google Scholar 

  14. J. Serrin,Local behavior of solutions of quasi-linear equations, Acta Math.111 (1964), 245–302.

    Article  MathSciNet  Google Scholar 

  15. J. VÄisÄlÄ,Lectures on n-dimensional quasiconformal mappings, Lecture Notes in Mathematics229, Springer Verlag, 1971.

  16. V. A. Zoric,A theorem of M. A. Lavrentiev on quasiconformal space maps (Russian), Mat. Sb.74 (1967), 417–433

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Helsinki, Helsinki, Finland

    Seppo Rickman

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  1. Seppo Rickman
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Rickman, S. On the number of omitted values of entire quasiregular mappings. J. Anal. Math. 37, 100–117 (1980). https://doi.org/10.1007/BF02797681

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  • DOI: https://doi.org/10.1007/BF02797681

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