Examinando por Autor "Karak, Nijjwal"
Mostrando 1 - 1 de 1
Resultados por página
Opciones de ordenación
Ítem Variable exponent Sobolev spaces and regularity of domains-II(Springer-Verlag Italia s.r.l., 2023) Górka, Przemysław; Karak, Nijjwal; Pons, Daniel J.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).