Optimal integrability of the Jacobian of orientation preserving maps

Cianchi, Andrea

Cianchi, Andrea

Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999), p. 619-628 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

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

Publié le : 1999-10-01

MR 1719554 | Zbl 0937.46037

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     author = {Andrea Cianchi},
     title = {Optimal integrability of the Jacobian of orientation preserving maps},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2-A},
     year = {1999},
     pages = {619-628},
     zbl = {0937.46037},
     mrnumber = {1719554},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_3_619_0}
}

Cianchi, Andrea. Optimal integrability of the Jacobian of orientation preserving maps. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 619-628. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_3_619_0/

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