Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2019, Volume 210, Issue 2, Pages 165–183
DOI: https://doi.org/10.1070/SM9010 (Mi sm9010) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Hadamard's theorem for mappings with relaxed smoothness conditions

A. V. Arutyunovabc, S. E. Zhukovskiyde

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
c V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia
d Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
e RUDN University, Moscow, Russia
English version PDF (521 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9010
Abstract: The paper puts forward sufficient conditions for a mapping from $\mathbb R^n$ to $\mathbb R^n$ to be a global homeomorphism. As an application, the Hadamard theorem for differentiable mappings and conditions for the existence and uniqueness of a coincidence point of a covering mapping and a Lipschitz mapping on $\mathbb R^n$ are derived. Covering mappings of metric spaces and mappings covering at a point are studied.
Bibliography: 23 titles.
Keywords: local homeomorphism, Hadamard's homeomorphism theorem, Caristi-like condition, covering mapping.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.962.2017/4.6
5-100
Russian Foundation for Basic Research 17-51-12064 ННИО_а
18-01-00106-а
19-01-00080-а
This research was carried out with the financial support of the Russian Foundation for Basic Research (grant nos. 17-51-12064 ННИО_а, 18-01-00106-a, 19-01-00080-a) and the “RUDN University Programme 5-100”.
Received: 10.09.2017 and 08.10.2018
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 2, Pages 3–23
DOI: https://doi.org/10.4213/sm9010
Bibliographic databases:
Document Type: Article
UDC: 517.275
MSC: 54H25, 34A34, 58C06
Language: English
Original paper language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “Hadamard's theorem for mappings with relaxed smoothness conditions”, Mat. Sb., 210:2 (2019), 3–23; Sb. Math., 210:2 (2019), 165–183
Citation in format AMSBIB
\Bibitem{AruZhu19}
\by A.~V.~Arutyunov, S.~E.~Zhukovskiy
\paper Hadamard's theorem for mappings with relaxed smoothness conditions
\jour Mat. Sb.
\yr 2019
\vol 210
\issue 2
\pages 3--23
\mathnet{http://mi.mathnet.ru/sm9010}
\crossref{https://doi.org/10.4213/sm9010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3920440}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019SbMat.210..165A}
\elib{https://elibrary.ru/item.asp?id=37089805}
\transl
\jour Sb. Math.
\yr 2019
\vol 210
\issue 2
\pages 165--183
\crossref{https://doi.org/10.1070/SM9010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000465078600001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065915491}
Linking options:
  • https://www.mathnet.ru/eng/sm9010
  • https://doi.org/10.1070/SM9010
  • https://www.mathnet.ru/eng/sm/v210/i2/p3
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:587
    Russian version PDF:98
    English version PDF:19
    References:50
    First page:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024