Controlled diffeomorphic extension of homeomorphisms
Abstract
Let Ω be an internal chord-arc Jordan domain and φ:S→∂Ω be a homeomorphism. We show that φ has finite dyadic energy if and only if φ has a diffeomorphic extension h:D→Ω which has finite energy.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
Pergamon Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201902181564Use this for linking
Review status
Peer reviewed
ISSN
0362-546X
DOI
https://doi.org/10.1016/j.na.2018.04.020
Language
English
Published in
Nonlinear Analysis : Theory, Methods and Applications
Citation
- Koskela, P., Wang, Z., & Xu, H. (2018). Controlled diffeomorphic extension of homeomorphisms. Nonlinear Analysis : Theory, Methods and Applications, 177(Part B), 586-600. https://doi.org/10.1016/j.na.2018.04.020
License
Funder(s)
Academy of Finland
Funding program(s)
Huippuyksikkörahoitus, SA
Centre of Excellence, AoF
Additional information about funding
The first and second authors have been supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (project No. 307333). The third author has been supported by China Scholarship Council (project No. 201706340060). This work was finished when the third author visited Department of Mathematics and Statistics at University of Jyväskylä.
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