Geodesic
Optimal integrability of the Jacobian of orientation preserving maps
Bollettino della Unione matematica italiana, Série 8, 2B (1999) no. 3, pp. 619-628.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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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     title = {Optimal integrability of the {Jacobian} of orientation preserving maps},
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Cianchi, Andrea. Optimal integrability of the Jacobian of orientation preserving maps. Bollettino della Unione matematica italiana, Série 8, 2B (1999) no. 3, pp. 619-628. http://geodesic.mathdoc.fr/item/BUMI_1999_8_2B_3_a6/

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