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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 424, Pages 33–125 (Mi znsl6009)  
This article is cited in 4 scientific papers (total in 4 papers)

An example of constructing the Bellman function for extremal problems in BMO

V. I. Vasyunin

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersbur, Russia
Full-text PDF (1728 kB) Citations (4)
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Abstract: An example of solution of a boundary value problem for a homogeneous Monge–Ampère equation is given, which produces a Bellman function for an extremal problem on the space BMO. The paper contains a step-by-step instruction for calculation of this function. The cases of a rather complicated foliation are considered. This illustrates the technique elaborated in a paper by Ivanishvili, Stoyanov, Vasyunin, and Zatitsky.
Key words and phrases: Bellman function, Monge–Ampére equation, minimal locally convex surfaces.
Received: 07.06.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 5, Pages 683–742
DOI: https://doi.org/10.1007/s10958-015-2521-3
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. I. Vasyunin, “An example of constructing the Bellman function for extremal problems in BMO”, Investigations on linear operators and function theory. Part 42, Zap. Nauchn. Sem. POMI, 424, POMI, St. Petersburg, 2014, 33–125; J. Math. Sci. (N. Y.), 209:5 (2015), 683–742
Citation in format AMSBIB
\Bibitem{Vas14}
\by V.~I.~Vasyunin
\paper An example of constructing the Bellman function for extremal problems in BMO
\inbook Investigations on linear operators and function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 424
\pages 33--125
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3481444}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 5
\pages 683--742
\crossref{https://doi.org/10.1007/s10958-015-2521-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84939472042}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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