Geodesic
Imbedding theorems and compactness for spaces of Sobolev type with weights
Sbornik. Mathematics, Tome 36 (1980) no. 3, pp. 331-349 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article weight estimates are obtained for the intermediate derivatives in spaces of functions which are $p$th power summable together with their gradient of order $l$ over a domain $\Omega$ with respect to a weight which degenerates on the boundary of $\Omega$. In particular, these estimates imply the boundedness and compactness of the corresponding imbeddings. Bibliography: 6 titles. 
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     author = {P. I. Lizorkin and M. Otelbaev},
     title = {Imbedding theorems and compactness for spaces of {Sobolev} type with weights},
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P. I. Lizorkin; M. Otelbaev. Imbedding theorems and compactness for spaces of Sobolev type with weights. Sbornik. Mathematics, Tome 36 (1980) no. 3, pp. 331-349. http://geodesic.mathdoc.fr/item/SM_1980_36_3_a3/

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