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Russian Mathematical Surveys, 2002, Volume 57, Issue 4, Pages 693–708
DOI: https://doi.org/10.1070/RM2002v057n04ABEH000533 (Mi rm533) 		 
This article is cited in 170 scientific papers (total in 171 papers)

How to recognize constant functions. Connections with Sobolev spaces

H. Brezis

Université Pierre & Marie Curie, Paris VI
English version PDF (200 kB) Citations (171) Russian version article
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DOI: https://doi.org/10.1070/RM2002v057n04ABEH000533
Abstract: A criterion for a function $f\in L^p$ to belong to $W^{1,p}$ $(p>1)$ or to $BV$ $(p=1)$ is given. Various integral conditions under which a measurable function is constant are discussed.
Received: 05.04.2002
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 46E35
Language: English
Original paper language: Russian
Citation: H. Brezis, “How to recognize constant functions. Connections with Sobolev spaces”, Russian Math. Surveys, 57:4 (2002), 693–708
Citation in format AMSBIB
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\by H.~Brezis
\paper How to recognize constant functions. Connections with Sobolev spaces
\jour Russian Math. Surveys
\yr 2002
\vol 57
\issue 4
\pages 693--708
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\crossref{https://doi.org/10.1070/RM2002v057n04ABEH000533}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1942116}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RuMaS..57..693B}
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    • This publication is cited in the following 171 articles:
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