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Title:Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Authors:ID Chems Eddine, Nabil (Author)
ID Repovš, Dušan (Author)
Files:.pdf PDF - Presentation file, download (2,35 MB)
MD5: 8C724CD9F4BB617894AAAFC4F9C6CB02
 
URL URL - Source URL, visit https://www.degruyter.com/document/doi/10.1515/dema-2024-0079/html
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
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.
Keywords:anisotropic variable exponent Sobolev spaces, critical Sobolev exponent, Sobolev embeddings, anisotropic Hölder-continuous functions, continuous embedding
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:10 str.
Numbering:Vol. 57, iss. 1, article no. 20240079
PID:20.500.12556/DiRROS-20841 New window
UDC:517.9
ISSN on article:2391-4661
DOI:10.1515/dema-2024-0079 New window
COBISS.SI-ID:215673859 New window
Note:
Publication date in DiRROS:20.11.2024
Views:255
Downloads:1998
Metadata:XML DC-XML DC-RDF
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CHEMS EDDINE, Nabil and REPOVŠ, Dušan, 2024, Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions. Demonstratio Mathematica [online]. 2024. Vol. 57, no. 1,  20240079. [Accessed 10 April 2025]. DOI 10.1515/dema-2024-0079. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=20841
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Record is a part of a journal

Title:Demonstratio Mathematica
Shortened title:Demonstr. Math.
Publisher:De Gruyter Poland
ISSN:2391-4661
COBISS.SI-ID:526342681 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0292
Name:Topologija in njena uporaba
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4031
Name:Računalniška knjižnica za zavozlane strukture in aplikacije
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4001
Name:Izbrani problemi iz uporabne in računske topologije
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0278
Name:Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0114
Name:Algebrajski odtisi geometrijskih značilnosti v homologiji
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0083
Name:Forsing, fuzija in kombinatorika odprtih pokritij

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License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

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