Controlled diffeomorphic extension of homeomorphisms

被引：4

作者：

Koskela, Pekka ^{[1
]}

Wang, Zhuang ^{[1
]}

Xu, Haiqing ^{[2
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 177卷

基金：

芬兰科学院;

关键词：

Poisson extension; Diffeomorphism; Chord-arc curve; JOHN DISKS; MAPPINGS; MAPS;

D O I：

10.1016/j.na.2018.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be an internal chord-arc Jordan domain and phi : S -> partial derivative Omega be a homeomorphism. We show that f has finite dyadic energy if and only if phi has a diffeomorphic extension h : D -> Omega which has finite energy. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：586 / 600

页数：15

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