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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 234, Pages 177–186 (Mi znsl3636)  
The problem of the regular isometric imbeddings and the Monge–Ampère equation of the hyperbolic type

E. V. Shikin

Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow
Full-text PDF (393 kB)
Abstract: A relationship between classical approaches to embeddings and the Monge–Ampère equations is described. A new method of constructing smooth solutions of the general Monge–Ampère equation of hyperbolic type for the domains of finite-stripe type is presented. Bibl. 18 titles.
Received: 20.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 2, Pages 1254–1260
DOI: https://doi.org/10.1007/BF02364881
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: E. V. Shikin, “The problem of the regular isometric imbeddings and the Monge–Ampère equation of the hyperbolic type”, Differential geometry, Lie groups and mechanics. Part 15–1, Zap. Nauchn. Sem. POMI, 234, POMI, St. Petersburg, 1996, 177–186; J. Math. Sci. (New York), 94:2 (1999), 1254–1260
Citation in format AMSBIB
\Bibitem{Shi96}
\by E.~V.~Shikin
\paper The problem of the regular isometric imbeddings and the Monge--Amp\`ere equation of the hyperbolic type
\inbook Differential geometry, Lie groups and mechanics. Part~15--1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 234
\pages 177--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856084}
\zmath{https://zbmath.org/?q=an:0962.53005}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 2
\pages 1254--1260
\crossref{https://doi.org/10.1007/BF02364881}
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