A Sobolev non embedding
Résumé
If $\Omega$ is a bounded domain in ${\mathbb R}^n$, $1\le q$<$p\le\infty$ and $s=0,1,2,\ldots$, then clearly $W^{s,p}(\Omega)\subset W^{s,q}(\Omega)$. We prove that this property does not hold when $s$ is not an integer.
Origine | Fichiers produits par l'(les) auteur(s) |
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