On a Poletskii-Type Inequality for Mappings of the Riemannian Surfaces

被引：0

作者：

Sevost'yanov, E. A. ^{[1
,2
]}

机构：

[1] I Franko Zhytomyr State Univ, Slovyansk, Ukraine

[2] Ukrainian Natl Acad Sci, Inst Appl Math & Mech, Slovyansk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 05期

关键词：

D O I：

10.1007/s11253-020-01824-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish upper estimates for the distortion of the modulus of families of curves under mappings from the Sobolev class whose dilatation is locally integrable. As a consequence, we prove theorems on the local and boundary behaviors of these mappings.

引用

页码：816 / 835

页数：20

共 50 条

[41] The Riemannian Penrose inequality
Huisken, G
Ilmanen, T
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1997, 1997 (20) : 1045 - 1058
[42] Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds
Stepanov, Sergey E.
Mikes, Josef
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 54 : 111 - 121
[43] The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings
Chen, Shaolin
INDAGATIONES MATHEMATICAE-NEW SERIES, 2023, 34 (06): : 1271 - 1302
[44] Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces
Petrovic, Milos Z.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (02) : 707 - 727
[45] Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces
Miloš Z. Petrović
Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 707 - 727
[46] A Poincare-Sobolev type inequality on compact Riemannian manifolds with boundary
Holcman, D
Humbert, E
MATHEMATISCHE ZEITSCHRIFT, 2001, 237 (04) : 669 - 695
[47] The Rado-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
Adamowicz, Tomasz
Jaaskelainen, Jarmo
Koski, Aleksis
REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (06) : 1779 - 1834
[48] ON A LIU-YAU TYPE INEQUALITY FOR SURFACES
Hijazi, Oussama
Montiel, Sebastian
Raulot, Simon
PACIFIC JOURNAL OF MATHEMATICS, 2014, 272 (01) : 177 - 199
[49] Refined position estimates for surfaces of Willmore type in Riemannian manifolds
Metzger, Jan
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2022, 30 (10) : 2315 - 2346
[50] HARMONIC QUASICONFORMAL MAPPINGS OF RIEMANNIAN MANIFOLDS
GOLDBERG, SI
ISHIHARA, T
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (01) : 225 - 240

← 1 2 3 4 5 →