Embedding of the weighted Sobolev spaces into the weighted Orlicz spaces and into the space of continuous functions on the anisotropic irregular domains

In this paper, classification by the parameter λ of domains with an anisotropic flexible σ-cone condition formerly introduced by the author is discussed. The author investigates the embedding of the weighted Sobolev spaces (in the "extreme" case) into the weighted Orlicz spaces and into the space of continuous functions on these classes of domains.