Normality of the Orlicz-Sobolev Classes

被引：0
|
作者：
Ryazanov, V. I. [1 ]
Salimov, R. R. [2 ]
Sevost'yanov, E. A. [3 ]
机构：
[1] Ukrainian Natl Acad Sci, Inst Appl Math & Mech, Slavyansk, Ukraine
[2] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine
[3] Franko Zhytomyr State Univ, Zhytomyr, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2016年 / 68卷 / 01期
关键词：
ELLIPTIC-EQUATIONS;
D O I：
10.1007/s11253-016-1212-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a series of new criteria of equicontinuity and, hence, normality of the mappings of Orlicz-Sobolev classes in terms of inner dilatations.
引用
收藏
页码：115 / 126
页数：12
相关论文
共 50 条
  • [1] Normality of the Orlicz–Sobolev Classes
    V. I. Ryazanov
    R. R. Salimov
    E. A. Sevost’yanov
    Ukrainian Mathematical Journal, 2016, 68 : 115 - 126
  • [2] Boundary behavior of Orlicz-Sobolev classes
    D. A. Kovtonyuk
    V. I. Ryazanov
    R. R. Salimov
    E. A. Sevost’yanov
    Mathematical Notes, 2014, 95 : 509 - 519
  • [3] TOWARD THE THEORY OF ORLICZ-SOBOLEV CLASSES
    Kovtonyuk, D. A.
    Ryazanov, V. I.
    Salimov, R. R.
    Sevost'yanov, E. A.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2014, 25 (06) : 929 - 963
  • [4] Boundary behavior of Orlicz-Sobolev classes
    Kovtonyuk, D. A.
    Ryazanov, V. I.
    Salimov, R. R.
    Sevost'yanov, E. A.
    MATHEMATICAL NOTES, 2014, 95 (3-4) : 509 - 519
  • [5] On the local behavior of the Orlicz-Sobolev classes
    Sevost’yanov E.A.
    Skvortsov S.A.
    Journal of Mathematical Sciences, 2017, 224 (4) : 563 - 581
  • [6] PRIME ENDS AND ORLICZ-SOBOLEV CLASSES
    Kovtonyuk, D. A.
    Ryazanov, V. I.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (05) : 765 - 788
  • [7] On the Equicontinuity of Homeomorphisms of Orlicz and Orlicz-Sobolev Classes in the Closure of a Domain
    Sevost'yanov, E. A.
    Petrov, E. A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2018, 69 (11) : 1821 - 1834
  • [8] ON THE ORLICZ-SOBOLEV CLASSES AND MAPPINGS WITH BOUNDED DIRICHLET INTEGRAL
    Ryazanov, V. I.
    Salimov, R. R.
    Sevost'yanov, E. A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2014, 65 (09) : 1394 - 1405
  • [9] On the Removability of Isolated Singularities of Orlicz-Sobolev Classes with Branching
    Sevost'yanov, E. A.
    Ukrainian Mathematical Journal, 2016, 68 (05) : 777 - 790
  • [10] Orlicz-Sobolev Algebras
    Andrea Cianchi
    Potential Analysis, 2008, 28
12345