Artículo
Variable Exponent Sobolev Spaces and Regularity of Domains
Fecha
2020Registro en:
Journal of Geometric Analysis, Volume 31, Issue 7, Pages 7304 - 7319, July 2021
1050-6926
DOI: 10.1007/s12220-020-00499-8
Autor
Górka, P.
Karak, N.
Pons, D.
Institución
Resumen
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.