Characterization of Orlicz Sobolev Spaces

Tiziano Granucci

Journal of Mathematics Research, 2018, vol. 10, issue 2, 104-121

Abstract: We give a characterization of the Orlicz Sobolev spaces $W^{1,\Phi }\left( \Omega \right) $ when $\Omega \subset \mathbb{R}^{N}$ is a open subset, $N\geq 1$ and $\Phi \in \triangle ^{2}$.

Keywords: Orlicz Spaces; Orlicz Sobolev Spaces; Non-local functionals (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:2:p:104

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