| Title: | Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions |
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| Authors: | ID Chems Eddine, Nabil (Author)
ID Repovš, Dušan (Author) |
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| Files: |  PDF - Presentation file, download (2,35 MB)
MD5: 8C724CD9F4BB617894AAAFC4F9C6CB02
 URL - Source URL, visit https://www.degruyter.com/document/doi/10.1515/dema-2024-0079/html
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| 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. |
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| Keywords: | anisotropic variable exponent Sobolev spaces, critical Sobolev exponent, Sobolev embeddings, anisotropic Hölder-continuous functions, continuous embedding |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 10 str. |
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| Numbering: | Vol. 57, iss. 1, article no. 20240079 |
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| PID: | 20.500.12556/DiRROS-20841  |
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| UDC: | 517.9 |
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| ISSN on article: | 2391-4661 |
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| DOI: | 10.1515/dema-2024-0079 |
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| COBISS.SI-ID: | 215673859 |
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| Note: |
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| Publication date in DiRROS: | 20.11.2024 |
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| Views: | 28 |
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| Downloads: | 12 |
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| Metadata: |    |
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