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On exact constant in the generalized poincaré inequality. / Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 112, No. 1, 01.01.2002, p. 4029-4047.

Research output: Contribution to journal › Article › peer-review

Harvard

Nazarov, AI 2002, 'On exact constant in the generalized poincaré inequality', Journal of Mathematical Sciences , vol. 112, no. 1, pp. 4029-4047. https://doi.org/10.1023/A:1020006108806

APA

Nazarov, A. I. (2002). On exact constant in the generalized poincaré inequality. Journal of Mathematical Sciences , 112(1), 4029-4047. https://doi.org/10.1023/A:1020006108806

Vancouver

Nazarov AI. On exact constant in the generalized poincaré inequality. Journal of Mathematical Sciences . 2002 Jan 1;112(1):4029-4047. https://doi.org/10.1023/A:1020006108806

Author

Nazarov, A. I. / On exact constant in the generalized poincaré inequality. In: Journal of Mathematical Sciences . 2002 ; Vol. 112, No. 1. pp. 4029-4047.

BibTeX

@article{e5f9d330e7634606b1133dbcd6b928ef,
title = "On exact constant in the generalized poincar{\'e} inequality",
abstract = "Some problems concerning an exact constant in the generalized Poincare inequality λpq = min ∥y′∥Lq|0,1|/∥y∥Lq0,1| with ȳ = ∫01(t)dt = 0 are discussed. In particular, the conjecture that the extremal of this problem is symmetric is confirmed.",
author = "Nazarov, {A. I.}",
year = "2002",
month = jan,
day = "1",
doi = "10.1023/A:1020006108806",
language = "English",
volume = "112",
pages = "4029--4047",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - On exact constant in the generalized poincaré inequality

AU - Nazarov, A. I.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - Some problems concerning an exact constant in the generalized Poincare inequality λpq = min ∥y′∥Lq|0,1|/∥y∥Lq0,1| with ȳ = ∫01(t)dt = 0 are discussed. In particular, the conjecture that the extremal of this problem is symmetric is confirmed.

AB - Some problems concerning an exact constant in the generalized Poincare inequality λpq = min ∥y′∥Lq|0,1|/∥y∥Lq0,1| with ȳ = ∫01(t)dt = 0 are discussed. In particular, the conjecture that the extremal of this problem is symmetric is confirmed.

UR - http://www.scopus.com/inward/record.url?scp=0037887512&partnerID=8YFLogxK

U2 - 10.1023/A:1020006108806

DO - 10.1023/A:1020006108806

M3 - Article

AN - SCOPUS:0037887512

VL - 112

SP - 4029

EP - 4047

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 45873602