This article is cited in 4 papers

Mathematics

Imbedding theorems for anisotropic Sobolev–Orlicz spaces

A. G. Korolev


Abstract: We generalize the Sobolev imbedding theorems to the case of anisotropic Sobolev–Orlich spaces $\mathring{W}^1_{(B)}(\Omega)$. In the case of imbedding of the latter space into the space of all continuous functions we derive an estimate of the continuity module for $u(x)\in\mathring{W}^1_{(B)}(\Omega)$.

UDC: 517.51

Received: 06.10.1981

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