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Jan 20, 2021 at 17:16 comment added Hannes There is the book by Appell and Zabreiko: Nonlinear superposition operators, which has a chapter about Nemytskii operators on Orlicz spaces. I do not have it available right now, though.
Jan 20, 2021 at 16:24 comment added Emma Notes In this context it seems that only polynomial growth are allowed. What about the case when p=n and the Sobolev space embeds in a Orlicz space?
Jan 20, 2021 at 13:53 history answered Hannes CC BY-SA 4.0