Controlled diffeomorphic extension of homeomorphisms
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
Date
2018Copyright
© 2018 Elsevier Ltd
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.
Publisher
Pergamon PressISSN Search the Publication Forum
0362-546XPublication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28706668
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Related funder(s)
Academy of FinlandFunding program(s)
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.License
Except where otherwise noted, this item's license is described as CC BY-NC-ND 4.0