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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 145 scientific papers (total in 146 papers)

How to recognize constant functions. Connections with Sobolev spaces

H. Brezis

Université Pierre & Marie Curie, Paris VI
English version PDF (200 kB) Citations (146)
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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
Russian version:
Uspekhi Matematicheskikh Nauk, 2002, Volume 57, Issue 4(346), Pages 59–74
DOI: https://doi.org/10.4213/rm533
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”, Uspekhi Mat. Nauk, 57:4(346) (2002), 59–74; Russian Math. Surveys, 57:4 (2002), 693–708
Citation in format AMSBIB
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    • This publication is cited in the following 146 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1580
    Russian version PDF:536
    English version PDF:52
    References:79
    First page:1
     
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