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Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 2, Pages 271–298
DOI: https://doi.org/10.1070/IM1981v017n02ABEH001335
(Mi im1950)
 

This article is cited in 7 scientific papers (total in 7 papers)

Multivarifolds and classical multidimensional Plateau problems

Dào Trong Thi
References:
Abstract: In this paper the author works out a theory of geometric measures – so-called multivarifolds – which are dimensionally homogeneous analogues of de Rham currents and their various manifestations, and which effectively mirror nonhomogeneous films, together with their geometric and topological properties. As an application the classical (multidimensional) Plateau problems are stated and solved.
Bibliography: 17 titles.
Received: 07.12.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 5, Pages 1031–1065
Bibliographic databases:
UDC: 513.8
MSC: Primary 49F20; Secondary 49F10
Language: English
Original paper language: Russian
Citation: Dào Trong Thi, “Multivarifolds and classical multidimensional Plateau problems”, Izv. Akad. Nauk SSSR Ser. Mat., 44:5 (1980), 1031–1065; Math. USSR-Izv., 17:2 (1981), 271–298
Citation in format AMSBIB
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\by D\`ao Trong Thi
\paper Multivarifolds and classical multidimensional Plateau problems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1980
\vol 44
\issue 5
\pages 1031--1065
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595257}
\zmath{https://zbmath.org/?q=an:0504.58015|0458.58008}
\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 2
\pages 271--298
\crossref{https://doi.org/10.1070/IM1981v017n02ABEH001335}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW12400003}
Linking options:
  • https://www.mathnet.ru/eng/im1950
  • https://doi.org/10.1070/IM1981v017n02ABEH001335
  • https://www.mathnet.ru/eng/im/v44/i5/p1031
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:536
    Russian version PDF:248
    English version PDF:53
    References:52
    First page:1
     
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