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Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions

Published 12 Jun 2024 in math.FA | (2406.08091v2)

Abstract: In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space $W{1,\Phi(\cdot,\cdot)}(\Omega)$ where $\Phi(x,t):=t{p(x)}{(\log(e+t))}{q(x)}.$

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