Variable exponent Sobolev spaces and regularity of domains-II
نویسندگان
چکیده
Abstract We provide necessary conditions on Euclidean domains for inclusions $$W^{1,p(\cdot )}(\Omega ) \hookrightarrow L^{q(\cdot $$ W 1 , p ( · ) Ω ↪ L q of variable exponent Sobolev spaces. The the p(\cdot are log-Hölder and log-log-Hölder continuity, while those domain \Omega measure log density conditions. Restrictions exponents q(\cdot )$$ appearing in Górka et al. (J. Geom. Anal. 310: 7304-7319, 2021) relaxed, improving results obtained that work.
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ژورنال
عنوان ژورنال: Revista Matematica Complutense
سال: 2023
ISSN: ['1696-8220', '1139-1138', '1988-2807']
DOI: https://doi.org/10.1007/s13163-023-00470-5