Standard

On the existence of extremal functions in sobolev embedding theorems with critical exponents. / Demyanov, A. V.; Nazarov, A. I.

In: St. Petersburg Mathematical Journal, Vol. 17, No. 5, 01.01.2006, p. 773-796.

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

Harvard

Demyanov, AV & Nazarov, AI 2006, 'On the existence of extremal functions in sobolev embedding theorems with critical exponents', St. Petersburg Mathematical Journal, vol. 17, no. 5, pp. 773-796. https://doi.org/10.1090/S1061-0022-06-00929-0

APA

Demyanov, A. V., & Nazarov, A. I. (2006). On the existence of extremal functions in sobolev embedding theorems with critical exponents. St. Petersburg Mathematical Journal, 17(5), 773-796. https://doi.org/10.1090/S1061-0022-06-00929-0

Vancouver

Demyanov AV, Nazarov AI. On the existence of extremal functions in sobolev embedding theorems with critical exponents. St. Petersburg Mathematical Journal. 2006 Jan 1;17(5):773-796. https://doi.org/10.1090/S1061-0022-06-00929-0

Author

Demyanov, A. V. ; Nazarov, A. I. / On the existence of extremal functions in sobolev embedding theorems with critical exponents. In: St. Petersburg Mathematical Journal. 2006 ; Vol. 17, No. 5. pp. 773-796.

BibTeX

@article{6bf33761d2014d96aa96e8a30aaa435b,
title = "On the existence of extremal functions in sobolev embedding theorems with critical exponents",
abstract = "Sufficient conditions for the existence of extremal functions in Sobolevtype inequalities on manifolds with or without boundary are established. Some of these conditions are shown to be sharp. Similar results for embeddings in some weighted Lq-spaces are obtained.",
keywords = "Critical exponent, Hardy–Sobolev inequality, Minimizers, P-Laplacian, Sobolev inequality, Sobolev–Poincar{\'e} inequality",
author = "Demyanov, {A. V.} and Nazarov, {A. I.}",
year = "2006",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-06-00929-0",
language = "English",
volume = "17",
pages = "773--796",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - On the existence of extremal functions in sobolev embedding theorems with critical exponents

AU - Demyanov, A. V.

AU - Nazarov, A. I.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Sufficient conditions for the existence of extremal functions in Sobolevtype inequalities on manifolds with or without boundary are established. Some of these conditions are shown to be sharp. Similar results for embeddings in some weighted Lq-spaces are obtained.

AB - Sufficient conditions for the existence of extremal functions in Sobolevtype inequalities on manifolds with or without boundary are established. Some of these conditions are shown to be sharp. Similar results for embeddings in some weighted Lq-spaces are obtained.

KW - Critical exponent

KW - Hardy–Sobolev inequality

KW - Minimizers

KW - P-Laplacian

KW - Sobolev inequality

KW - Sobolev–Poincaré inequality

UR - http://www.scopus.com/inward/record.url?scp=85009786916&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-06-00929-0

DO - 10.1090/S1061-0022-06-00929-0

M3 - Article

AN - SCOPUS:85009786916

VL - 17

SP - 773

EP - 796

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 45872899