CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS

Ruslan Salimov; Evgeny Sevost’Yanov; Alexander Ukhlov

CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS

Ruslan Salimov
, Evgeny Sevost’Yanov
, Alexander Ukhlov

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rⁿ. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.

Original language	English
Pages (from-to)	129-135
Number of pages	7
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	178
Issue number	1
State	Published - 1 Apr 2024

Keywords

Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS",

abstract = "In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.",

keywords = "Quasiconformal mappings, Sobolev spaces",

author = "Ruslan Salimov and Evgeny Sevost{\textquoteright}Yanov and Alexander Ukhlov",

year = "2024",

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language = "English",

volume = "178",

pages = "129--135",

journal = "Transactions of A. Razmadze Mathematical Institute",

issn = "2346-8092",

publisher = "A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University",

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T1 - CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS

AU - Salimov, Ruslan

AU - Sevost’Yanov, Evgeny

AU - Ukhlov, Alexander

PY - 2024/4/1

Y1 - 2024/4/1

N2 - In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.

AB - In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.

KW - Quasiconformal mappings

KW - Sobolev spaces

UR - https://www.scopus.com/pages/publications/85188580084

M3 - Article

AN - SCOPUS:85188580084

SN - 2346-8092

VL - 178

SP - 129

EP - 135

JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 1

ER -

CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS

Abstract

Keywords

ASJC Scopus subject areas

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