Variable Exponent Sobolev Spaces and Regularity of Domains

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Date
2020
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Idioma
en
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Publisher
Springer
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Attribution 4.0 International (CC BY 4.0)
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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.
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Indexación: Scopus.
Keywords
Measure density condition, Sobolev embedding, Sobolev spaces
Citation
Journal of Geometric Analysis, Volume 31, Issue 7, Pages 7304 - 7319, July 2021
DOI
DOI: 10.1007/s12220-020-00499-8
URI
http://repositorio.unab.cl/xmlui/handle/ria/20544
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