𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Compactness of Embeddings of Sobolev Spaces

✍ Scribed by Duc, D. M.; Le Dung,


Book ID
120095882
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
265 KB
Volume
s2-40
Category
Article
ISSN
0024-6107

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Measures of non–compactness of classical
✍ Stanislav Hencl πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 221 KB

## Abstract Let Ξ© 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~(Ξ©) β†’ __L__^__p__\*^(Ξ©) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.