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
© 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.
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Related funder(s)Academy of Finland
Funding program(s)Centre of Excellence, AoF
Additional information about fundingThe 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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