A density result on Orlicz-Sobolev spaces in the plane

[摘要] We show the density of smooth Sobolev functions W-k,W-infinity(Omega) boolean AND C-infinity(Omega) in the Orlicz-Sobolev spaces L-k,L-Psi(Omega) for bounded simply connected planar domains Omega and doubling Young functions Psi. (C) 2021 The Author(s). Published by Elsevier Inc.

[发布日期] 2021-11-15

[关键词] Sobolev space;Orlicz-Sobolev space;Density