Author:
Górka Przemysław,Karak Nijjwal,Pons Daniel J.
Abstract
AbstractWe 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.
Publisher
Springer Science and Business Media LLC
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