Geodesic
Embedding of a weighted Sobolev space and properties of the domain
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 107-114

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We establish the embedding $W_{p,v}^s(G)\subset L_{q,w}(G)$ for a weighted Sobolev space defined on an irregular domain $G$ in the case of the limiting exponent when the parameters satisfy certain relations that depend on the geometric properties of the domain $G$. 
@article{TM_2015_289_a5,
     author = {O. V. Besov},
     title = {Embedding of a weighted {Sobolev} space and properties of the domain},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {107--114},
     publisher = {mathdoc},
     volume = {289},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_289_a5/}
}
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%T Embedding of a weighted Sobolev space and properties of the domain
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%F TM_2015_289_a5
O. V. Besov. Embedding of a weighted Sobolev space and properties of the domain. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 107-114. http://geodesic.mathdoc.fr/item/TM_2015_289_a5/