Sobolev's embedding theorem for anisotropically irregular domains
Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 32-51
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We establish a Sobolev-type embedding theorem, namely, an embedding of the Sobolev space $W_p^s(G)$ in the Lebesgue space $L_q(G)$, for anisotropically irregular domains $G\subset\mathbb R^n$ of various classes.
@article{EMJ_2011_2_1_a1,
author = {O. V. Besov},
title = {Sobolev's embedding theorem for anisotropically irregular domains},
journal = {Eurasian mathematical journal},
pages = {32--51},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a1/}
}
O. V. Besov. Sobolev's embedding theorem for anisotropically irregular domains. Eurasian mathematical journal, Tome 2 (2011) no. 1, pp. 32-51. http://geodesic.mathdoc.fr/item/EMJ_2011_2_1_a1/