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Variable Exponent Sobolev Spaces and Regularity of Domains
| Indexado |
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| DOI | 10.1007/S12220-020-00499-8 | ||||
| Año | 2021 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We study the embeddings of variable exponent Sobolev and Holder 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-Holder continuity; concerning the domain, the relevant condition is the measure density condition.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Gorka, Przemyslaw | Hombre |
Warsaw Univ Technol - Polonia
Politechnika Warszawska - Polonia |
| 2 | Karak, Nijjwal | - |
Indian Inst Technol Indore - India
Indian Institute of Technology Indore - India |
| 3 | Pons, Daniel J. | Hombre |
Universidad Nacional Andrés Bello - Chile
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| Agradecimiento |
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| N. K. thanks DST-SERB (Project PDF/2016/000328) for financial support. P. G. has been supported by NCN grant 2018/02/X/ST1/02133. All the Authors would like to thank the reviewer for his/her valuable comments on the manuscript. |
| N. K. thanks DST-SERB (Project PDF/2016/000328) for financial support. P. G. has been supported by NCN grant 2018/02/X/ST1/02133. All the Authors would like to thank the reviewer for his/her valuable comments on the manuscript. |
