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Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces

Francesca Antoci

math.FAarXiv:math/0301352

Abstract

We give some necessary conditions and sufficient conditions for the compactness of the embedding of Sobolev spaces W1,p(Ω,w) Lp(Ω,w), where w is some weight on a domain Ω⊂ n.

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