INTEGRABILITY OF THE JACOBIANS OF ORIENTATION PRESERVING-MAPS - INTERPOLATION METHODS

Authors
MILMAN M
Citation
M. Milman, INTEGRABILITY OF THE JACOBIANS OF ORIENTATION PRESERVING-MAPS - INTERPOLATION METHODS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(6), 1993, pp. 539-543
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
317
Issue
6
Year of publication
1993
Pages
539 - 543
Database
ISI
SICI code
0764-4442(1993)317:6<539:IOTJOO>2.0.ZU;2-Q
Abstract
We study the integrability of the Jacobian of orientation preserving m aps. We extend previous work by Muller, Coifman, P.-L. Lions, Meyer an d Semmes, Iwaniec and Sbordone, Brezis, Fusco and Sbordone, Greco and Iwaniec, among others. In particular we provide proofs to conjectures proposed by Greco and Iwaniec. Our methods are based on interpolation theory.