Mappings of finite distortion: Size of the branch set-Reference-Cited by-同舟云学术

Mappings of finite distortion: Size of the branch set

Published:2020-10-01 Issue:4 Volume:13 Page:325-360
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
Short-container-title:

Author:

Guo Chang-Yu¹,Hencl Stanislav²,Tengvall Ville³

Affiliation:

1. Department of Mathematics, University of Fribourg, Fribourg, Switzerland

2. Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 00Prague8, Czech Republic

3. University of Jyvaskyla, Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University ofJyvaskyla, Finland

Abstract

AbstractWe study the branch set of a mapping between subsets of

{\mathbb{R}^{n}}

, i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.

Funder

Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2017-0034/pdf

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