Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces

DOI10.1016/j.jfa.2022.109716OpenAlexW4296067907MaRDI QIDQ2088106

Michał Borowski, Iwona Skrzypczak

Publication date: 21 October 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109716

zbMATH Keywords

density of smooth functionsMusielak-Orlicz-Sobolev spacesLavrentiev's phenomenon

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Modular spaces (46A80)

Related Items (4)

Regularity theory for non-autonomous problems with a priori assumptions ⋮ Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents ⋮ A direct proof of existence of weak solutions to elliptic problems ⋮ A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces

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