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On the "one-dimensionality" of the extremal for the Poincaré inequality in a square. / Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 109, No. 5, 01.01.2002, p. 1928-1939.

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

Harvard

Nazarov, AI 2002, 'On the "one-dimensionality" of the extremal for the Poincaré inequality in a square', Journal of Mathematical Sciences , vol. 109, no. 5, pp. 1928-1939. https://doi.org/10.1023/A:1014496325564

APA

Nazarov, A. I. (2002). On the "one-dimensionality" of the extremal for the Poincaré inequality in a square. Journal of Mathematical Sciences , 109(5), 1928-1939. https://doi.org/10.1023/A:1014496325564

Vancouver

Nazarov AI. On the "one-dimensionality" of the extremal for the Poincaré inequality in a square. Journal of Mathematical Sciences . 2002 Jan 1;109(5):1928-1939. https://doi.org/10.1023/A:1014496325564

Author

Nazarov, A. I. / On the "one-dimensionality" of the extremal for the Poincaré inequality in a square. In: Journal of Mathematical Sciences . 2002 ; Vol. 109, No. 5. pp. 1928-1939.

BibTeX

@article{39f47aef82ee417fb58ba840abffb6d0,
title = "On the {"}one-dimensionality{"} of the extremal for the Poincar{\'e} inequality in a square",
abstract = "In this paper, we analyze the conditions of the existence and nonexistence of one-dimensional local minimizers of the functions induced by the Poincare inequality. We mainly focus on the cases of square and rectangular domains. However, other cases are also discussed.",
author = "Nazarov, {A. I.}",
year = "2002",
month = jan,
day = "1",
doi = "10.1023/A:1014496325564",
language = "English",
volume = "109",
pages = "1928--1939",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - On the "one-dimensionality" of the extremal for the Poincaré inequality in a square

AU - Nazarov, A. I.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - In this paper, we analyze the conditions of the existence and nonexistence of one-dimensional local minimizers of the functions induced by the Poincare inequality. We mainly focus on the cases of square and rectangular domains. However, other cases are also discussed.

AB - In this paper, we analyze the conditions of the existence and nonexistence of one-dimensional local minimizers of the functions induced by the Poincare inequality. We mainly focus on the cases of square and rectangular domains. However, other cases are also discussed.

UR - http://www.scopus.com/inward/record.url?scp=33646529455&partnerID=8YFLogxK

U2 - 10.1023/A:1014496325564

DO - 10.1023/A:1014496325564

M3 - Article

AN - SCOPUS:33646529455

VL - 109

SP - 1928

EP - 1939

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 45873528