Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}). As applications, we established a compact Sobolev embedding on domain and a Landau-Kolmog...

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Bibliographic Details
Main Authors: Wu Ruimin, Wang Songbai
Format: Article
Language:English
Published: De Gruyter 2023-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0595