A density result on Orlicz-Sobolev spaces in the plane
Ortiz, W. A., & Rajala, T. (2021). A density result on Orlicz-Sobolev spaces in the plane. Journal of Mathematical Analysis and Applications, 503(2), Article 125329. https://doi.org/10.1016/j.jmaa.2021.125329
Published inJournal of Mathematical Analysis and Applications
DisciplineMatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)
© 2021 The Author(s). Published by Elsevier Inc.
We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in the Orlicz-Sobolev spaces Lk,Ψ(Ω) for bounded simply connected planar domains Ω and doubling Young functions Ψ.
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Related funder(s)Academy of Finland
Funding program(s)Academy Project, AoF; Research post as Academy Research Fellow, AoF
Additional information about fundingTR acknowledges the support by the Academy of Finland, projects no. 274372 and 314789. WO acknowledges the support by MINECO Grants MTM201344304P and EEBBI1812876 (Spain).
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