Year: 2026
Type: article
Abstract: The continuity of the Nemytskii operator between Orlicz–Sobolev spaces is investigated. Natural Orlicz–Sobolev versions of classical results for standard Sobolev spaces are established. The results presented not only extend the latter, but also improve them in borderline situations. Anisotropic Orlicz–Sobolev spaces are also included. The results offered for this class of spaces are new even for customary anisotropic Sobolev spaces.
Authors: Michał Borowski, Andrea Cianchi
Institutions: University of Warsaw, University of Florence
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414938486
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