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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
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
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
Linking options:
https://www.mathnet.ru/eng/rm533https://doi.org/10.1070/RM2002v057n04ABEH000533 https://www.mathnet.ru/eng/rm/v57/i4/p59
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Abstract page: | 1580 | Russian version PDF: | 536 | English version PDF: | 52 | References: | 79 | First page: | 1 |
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