Low regularity function spaces of N-valued maps are contractible
Résumé
Let $M$ be a compact Lipschitz submanifold, possibly with boundary, of ${\mathbb R}^n$. Let $N\subset {\mathbb R}^k$ be an arbitrary set. Let $s\ge 0$ and $1\le p<\infty$ be such that $sp<1$. Then $W^{s, p}(M ; N)$ is contractible.
Domaines
Analyse classique [math.CA]Origine | Fichiers produits par l'(les) auteur(s) |
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