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Variable Exponent Sobolev Spaces and Regularity of Domains
Authors:
- Przemysław Górka,
- Nijjwal Karak,
- Daniel J. Pons
Abstract
We study the embeddings of variable exponent Sobolev and Hölder function spaces over Euclidean domains, providing necessary and/or sufficient conditions on the regularity of the exponent and/or the domain in various contexts. Concerning the exponent, the relevant condition is log-Hölder continuity; concerning the domain, the relevant condition is the measure density condition.
- Record ID
- WUTc8d9a6bc22a94b2f937d1c676b5adc96
- Author
- Journal series
- Journal of Geometric Analysis, ISSN 1050-6926, e-ISSN 1559-002X
- Issue year
- 2021
- Vol
- 31
- Pages
- 7304–7319
- Publication size in sheets
- 0.75
- Keywords in Polish
- przestrzenie Sobolewa, zanurzenia Sobolewa, warunek gęstości miary
- Keywords in English
- Sobolev spaces, Sobolev embedding, Measure density condition
- ASJC Classification
- Abstract in Polish
- Badamy zanurzenia przestrzeni Sobolewa ze zmiennym wykładnikiem na przestrzeniach euklidesowych. Wykazujemy, że zanurzenia Sobolewa implikują warunek gęstości miary.
- DOI
- DOI:10.1007/s12220-020-00499-8 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s12220-020-00499-8 Opening in a new tab
- Language
- eng (en) English
- License
- File
-
- File: 1
- Variable Exponent Sobolev Spaces and Regularity of Domains, File WUTc8d9a6bc22a94b2f937d1c676b5adc96.pdf / 242 KB
- WUTc8d9a6bc22a94b2f937d1c676b5adc96.pdf
- publication date: 05-12-2020
- Variable Exponent Sobolev Spaces and Regularity of Domains, File WUTc8d9a6bc22a94b2f937d1c676b5adc96.pdf / 242 KB
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- Score (nominal)
- 100
- Score source
- journalList
- Score
- = 100.0, 25-05-2022, ArticleFromJournal
- Publication indicators
- = 1; = 0; : 2018 = 1.160; : 2020 (2 years) = 1.183 - 2020 (5 years) =1.243
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- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUTc8d9a6bc22a94b2f937d1c676b5adc96/
- URN
urn:pw-repo:WUTc8d9a6bc22a94b2f937d1c676b5adc96
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.