Variable exponent Sobolev spaces and regularity of domains-II
| dc.contributor.author | Górka, Przemysław | |
| dc.contributor.author | Karak, Nijjwal | |
| dc.contributor.author | Pons, Daniel J. | |
| dc.date.accessioned | 2024-05-27T19:36:08Z | |
| dc.date.available | 2024-05-27T19:36:08Z | |
| dc.date.issued | 2023 | |
| dc.description | Indexación: Scopus. | |
| dc.description | We would like to thank the reviewers for the valuable comments and suggestions. P. G. has been supported by NCN grant 2018/02/X/ST1/02133. N. K. thanks DST-SERB (Project SRG/2021/000118) and BITS Pilani (BITS/GAU/RIG/2020/H0749) for financial support. | |
| dc.description.abstract | We provide necessary conditions on Euclidean domains for inclusions W1,p(·)(Ω) ↪ Lq(·)(Ω) of variable exponent Sobolev spaces. The conditions on the exponent p(·) are log-Hölder and log-log-Hölder continuity, while those on the domain Ω are the measure and the log measure density conditions. Restrictions on the exponents q(·) and p(·) appearing in Górka et al. (J. Geom. Anal. 310: 7304-7319, 2021) are relaxed, improving the results obtained in that work. © 2023, The Author(s). | |
| dc.description.uri | https://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007/s13163-023-00470-5 | |
| dc.identifier.citation | Revista Matematica Complutense. Open Access. 2023 | |
| dc.identifier.doi | 10.1007/s13163-023-00470-5 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.uri | https://repositorio.unab.cl/handle/ria/57143 | |
| dc.language.iso | en | |
| dc.publisher | Springer-Verlag Italia s.r.l. | |
| dc.rights.license | CC BY 4.0 DEED Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Measure Density Condition | |
| dc.subject | Sobolev Embedding | |
| dc.subject | Sobolev spaces | |
| dc.title | Variable exponent Sobolev spaces and regularity of domains-II | |
| dc.type | Artículo |
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