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31 p, 614.3 KB Compactness of higher-order Sobolev embeddings / Slavíková, Lenka (Univerzita Karlova (Praga, República Txeca). Department of Mathematical Analysis)
We study higher-order compact Sobolev embeddings on a domain ∩ ⊆Rn endowed with a probability measure ∨ and satisfying certain isoperimetric inequality. Given m ∈ N, we present a condition on a pair of rearrangement-invariant spaces X( ∩,∨) and Y ( ∩,∨) which suffices to guarantee a compact embedding of the Sobolev space V m X ( ∩,∨) into Y (∩,∨). [...]
2015 - 10.5565/PUBLMAT_59215_06
Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 373-448 (Articles)  

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