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Mathematics of the USSR-Sbornik, 1988, Volume 60, Issue 2, Pages 395–412
DOI: https://doi.org/10.1070/SM1988v060n02ABEH003177
(Mi sm1876)
 

The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional

A. V. Tyrin
References:
Abstract: The author establishes the regularity of maps from Riemannian manifolds of small dimensions into certain homogeneous spaces with metrics near to the invariant metrics that locally minimize the multidimensional Dirichlet functional (energy).
Bibliography: 21 titles.
Received: 16.12.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 132(174), Number 3, Pages 401–419
Bibliographic databases:
UDC: 517.97
MSC: 58E20
Language: English
Original paper language: Russian
Citation: A. V. Tyrin, “The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional”, Mat. Sb. (N.S.), 132(174):3 (1987), 401–419; Math. USSR-Sb., 60:2 (1988), 395–412
Citation in format AMSBIB
\Bibitem{Tyr87}
\by A.~V.~Tyrin
\paper The regularity of~maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 132(174)
\issue 3
\pages 401--419
\mathnet{http://mi.mathnet.ru/sm1876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=889601}
\zmath{https://zbmath.org/?q=an:0679.49014}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 60
\issue 2
\pages 395--412
\crossref{https://doi.org/10.1070/SM1988v060n02ABEH003177}
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  • https://www.mathnet.ru/eng/sm1876
  • https://doi.org/10.1070/SM1988v060n02ABEH003177
  • https://www.mathnet.ru/eng/sm/v174/i3/p401
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    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:278
    Russian version PDF:83
    English version PDF:1
    References:37
     
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