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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 167–181 (Mi znsl1055)  
This article is cited in 3 scientific papers (total in 3 papers)

About “one-dimensionality” of the extremal in the Poincare inequality in the square

A. I. Nazarov

Saint-Petersburg State University
Full-text PDF (205 kB) Citations (3)
Abstract: Conditions of local extremality and nonextremality of “one-dimensional” functions for the functional induced by Poincaré inequality in the square and in the rectangle are obtained.
Received: 10.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1928–1939
DOI: https://doi.org/10.1023/A:1014496325564
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. I. Nazarov, “About “one-dimensionality” of the extremal in the Poincare inequality in the square”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 167–181; J. Math. Sci. (New York), 109:5 (2002), 1928–1939
Citation in format AMSBIB
\Bibitem{Naz99}
\by A.~I.~Nazarov
\paper About ``one-dimensionality'' of the extremal in the Poincare inequality in the square
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 167--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1055}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754362}
\zmath{https://zbmath.org/?q=an:0999.49004}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1928--1939
\crossref{https://doi.org/10.1023/A:1014496325564}
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  • https://www.mathnet.ru/eng/znsl/v259/p167
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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