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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 255, Pages 104–124 (Mi znsl938)  
Injectivity criteria for some domains. I

E. L. Patsevich

Novgorod State University after Yaroslav the Wise
Full-text PDF (284 kB)
Abstract: New conditions are given for continuously differentiable mappings of some plane domains to be injective. In the case of plane circular domain these criteria coincide with well-known conditions. The method of locally homeomorphic extension is used.
Received: 15.12.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 4, Pages 4038–4053
DOI: https://doi.org/10.1023/A:1012488616627
Bibliographic databases:
UDC: 517.548
Language: Russian
Citation: E. L. Patsevich, “Injectivity criteria for some domains. I”, Investigations on linear operators and function theory. Part 26, Zap. Nauchn. Sem. POMI, 255, POMI, St. Petersburg, 1998, 104–124; J. Math. Sci. (New York), 107:4 (2001), 4038–4053
Citation in format AMSBIB
\Bibitem{Pat98}
\by E.~L.~Patsevich
\paper Injectivity criteria for some domains.~I
\inbook Investigations on linear operators and function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 255
\pages 104--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl938}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692924}
\zmath{https://zbmath.org/?q=an:0989.30011}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 107
\issue 4
\pages 4038--4053
\crossref{https://doi.org/10.1023/A:1012488616627}
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