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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 1, Pages 32–37
(Mi vmumm3444)
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This article is cited in 4 scientific papers (total 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 $u(x)\in\mathring{W}^1_{(B)}(\Omega)$.
Received: 06.10.1981
Citation:
A. G. Korolev, “Imbedding theorems for anisotropic Sobolev–Orlicz spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 1, 32–37
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https://www.mathnet.ru/eng/vmumm3444 https://www.mathnet.ru/eng/vmumm/y1983/i1/p32
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Abstract page: | 103 | Full-text PDF : | 55 |
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