Standard

Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function. / Vodopyanov, S. K.

в: Siberian Mathematical Journal, Том 59, № 6, 01.11.2018, стр. 983-1005.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vodopyanov, SK 2018, 'Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function', Siberian Mathematical Journal, Том. 59, № 6, стр. 983-1005. https://doi.org/10.1134/S0037446618060034

APA

Vodopyanov, S. K. (2018). Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function. Siberian Mathematical Journal, 59(6), 983-1005. https://doi.org/10.1134/S0037446618060034

Vancouver

Vodopyanov SK. Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function. Siberian Mathematical Journal. 2018 нояб. 1;59(6):983-1005. doi: 10.1134/S0037446618060034

Author

Vodopyanov, S. K. / Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function. в: Siberian Mathematical Journal. 2018 ; Том 59, № 6. стр. 983-1005.

BibTeX

@article{084521525f8b43ce916bd0bb8bd818a8,
title = "Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function",
abstract = "We define two scales of the mappings that depend on two real parameters p and q, with n−1 ≤ q ≤ p < ∞, as well as a weight function θ. The case q = p = n and θ ≡ 1 yields the well-known mappings with bounded distortion. The mappings of a two-index scale are applied to solve a series of problems of global analysis and applications. The main result of the article is the a.e. differentiability of mappings of two-index scales.",
keywords = "capacity estimate, differentiability, Liouville theorem, quasiconformal analysis, Sobolev space",
author = "Vodopyanov, {S. K.}",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = nov,
day = "1",
doi = "10.1134/S0037446618060034",
language = "English",
volume = "59",
pages = "983--1005",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "6",

}

RIS

TY - JOUR

T1 - Differentiability of Mappings of the Sobolev Space Wn−1 1 with Conditions on the Distortion Function

AU - Vodopyanov, S. K.

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - We define two scales of the mappings that depend on two real parameters p and q, with n−1 ≤ q ≤ p < ∞, as well as a weight function θ. The case q = p = n and θ ≡ 1 yields the well-known mappings with bounded distortion. The mappings of a two-index scale are applied to solve a series of problems of global analysis and applications. The main result of the article is the a.e. differentiability of mappings of two-index scales.

AB - We define two scales of the mappings that depend on two real parameters p and q, with n−1 ≤ q ≤ p < ∞, as well as a weight function θ. The case q = p = n and θ ≡ 1 yields the well-known mappings with bounded distortion. The mappings of a two-index scale are applied to solve a series of problems of global analysis and applications. The main result of the article is the a.e. differentiability of mappings of two-index scales.

KW - capacity estimate

KW - differentiability

KW - Liouville theorem

KW - quasiconformal analysis

KW - Sobolev space

UR - http://www.scopus.com/inward/record.url?scp=85057482206&partnerID=8YFLogxK

U2 - 10.1134/S0037446618060034

DO - 10.1134/S0037446618060034

M3 - Article

AN - SCOPUS:85057482206

VL - 59

SP - 983

EP - 1005

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 18143723