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A necessary condition on domains for optimal Orlicz-Sobolev embeddings

Published 7 Mar 2019 in math.FA | (1903.02808v2)

Abstract: We provide a necessary condition on the regularity of domains for the optimal embeddings of first order (and higher order) Orlicz-Sobolev spaces into Orlicz spaces in the sense of \cite{Cia96} (and \cite{Cia06}).

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