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On measures of non-compactness and applications to embeddings

✍ Scribed by Nina A. Yerzakova

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
297 KB
Volume
30
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

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## Abstract Let Ω be an open subset of ℝ^__n__^ and let __p__ ∈ [1, __n__). We prove that the measure of non–compactness of the Sobolev embedding __W__^__k,p__^~0~(Ω) → __L__^__p__\*^(Ω) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.

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