Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Abstract: We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains. We establish a foundational approach to extend the concept of Hölder continuity to anisotropic settings with variable exponents, providing deeper insight into the regularity of functions across different directions. Our results not only broaden the understanding of anisotropic function spaces but also open new avenues for applications in mathematical and applied sciences.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions ; volume:57 ; number:1 ; year:2024 ; extent:10
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 10)
- Creator
- DOI
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10.1515/dema-2024-0079
- URN
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urn:nbn:de:101:1-2411201939128.960621088720
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:27 AM CEST
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Associated
- Eddine, Nabil Chems
- Repovš, Dušan
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