In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space W1,Φ(·,·)(Ω) where Φ(x,t):=tᵖ⁽ˣ⁾(log(e+t))q(x).
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Pandey et al. (2024) studied this question.
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