The Regularity of the Inverses of Sobolev Homeomorphisms with Finite Distortion

被引：21

作者：

Moscariello, Gioconda ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 01期

关键词：

Homeomorphisms with finite distortion; Area formula; Bisobolev mappings; MAPPINGS;

D O I：

10.1007/s12220-012-9345-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega and Omega' be bounded open sets in a"e (n) , na parts per thousand yen2, and let Hom(Omega;Omega') be the class of homeomorphisms f:Omega ->Omega'. If faHom(Omega;Omega')a (c) W (1,n-1)(Omega;Omega') is a homeomorphism with finite inner distortion, we deduce regularity properties of the inverse f (-1) from the regularity of the distortion function of f.

引用

页码：571 / 594

页数：24

共 50 条

[41] LOCAL REGULARITY OF CR HOMEOMORPHISMS
BELL, S
[J]. DUKE MATHEMATICAL JOURNAL, 1988, 57 (01) : 295 - 300
[42] Mappings of finite signed distortion: Sobolev spaces and composition of mappings
Kleprlik, Ludek
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 870 - 881
[43] Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
E. A. Sevost’yanov
[J]. Ukrainian Mathematical Journal, 2015, 67 : 938 - 947
[44] Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
Sevost'yanov, E. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2015, 67 (06) : 938 - 947
[45] Local homeomorphisms having local ACLn inverses
Cristea, Mihai
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (01) : 77 - 99
[46] Topological obstructions to continuity of Orlicz–Sobolev mappings of finite distortion
Paweł Goldstein
Piotr Hajłasz
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2019, 198 : 243 - 262
[47] The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev-Orlicz Spaces
Menovshchikov, A. V.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (02) : 332 - 340
[48] CONJUGACY CLASS OF HOMEOMORPHISMS AND DISTORTION ELEMENTS IN GROUPS OF HOMEOMORPHISMS
Militon, Emmanuel
[J]. JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2018, 5 : 565 - 604
[49] Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz Sobolev spaces
Campbell, Daniel
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (01) : 125 - 205
[50] APPROXIMATION BY PIECEWISE AFFINE HOMEOMORPHISMS OF SOBOLEV HOMEOMORPHISMS THAT ARE SMOOTH OUTSIDE A POINT
Mora-Corral, Carlos
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2009, 35 (02): : 515 - 539

← 1 2 3 4 5 →