Cianchi: Optimal integrability of the Jacobian of orientation preserving maps

Cianchi, Andrea:
Optimal integrability of the Jacobian of orientation preserving maps
Bollettino dell'Unione Matematica Italiana Serie 8 2-B (1999), fasc. n.3, p. 619-628, Unione Matematica Italiana (English)
pdf (229 Kb), djvu (140 Kb). | MR1719554 | Zbl 0937.46037

Sunto

Dato un qualsiasi spazio invariante per riordinamenti $X(\Omega)$ su un insieme aperto $\Omega\subset \mathbb{R}^{n}$, si determina il più piccolo spazio invariante per riordinamenti $Y (\Omega)$ con la proprietà che se $u:\Omega \to \mathbb{R}^{n}$ è una applicazione che mantiene l'orientamento e $|Du|^{n} \in X(\Omega)$, allora $\det Du$ appartiene localmente a $Y(\Omega)$.

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Referenze Bibliografiche