On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu

Fabrice Bethuel; Giandomenico Orlandi; Didier Smets

doi:10.1016/S1631-073X(03)00367-4

Partial Differential Equations

On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu
[Un problème ouvert sur les Jacobiens soulevé par Bourgain, Brezis et Mironescu]

Présenté par : Haïm Brezis

Fabrice Bethuel ^1,² ; Giandomenico Orlandi ³ ; Didier Smets ¹

¹ Laboratoire Jacques-Louis Lions, Université de Paris 6, 4, place Jussieu, BC 187, 75252 Paris, France
² Institut Universitaire de France, 103, bd Saint-Michel, 75005 Paris, France
³ Dipartimento di Informatica, Università di Verona, Strada le Grazie, 37134 Verona, Italy

Comptes Rendus. Mathématique, Volume 337 (2003) no. 6, pp. 381-385.

Résumé
Abstract

Nous démontrons une estimée pour des Jacobiens dans le contexte de la fonctionnelle de Ginzburg–Landau. Cela répond à une conjecture dans un travail récent de Bourgain, Brezis et Mironescu.

We establish a Jacobian estimate in the context of Ginzburg–Landau theory, which was conjectured in a recent work of Bourgain, Brezis and Mironescu.

Reçu le : 2003-07-04
Accepté le : 2003-07-04
Publié le : 2003-09-12

DOI : 10.1016/S1631-073X(03)00367-4

Affiliations des auteurs :

Fabrice Bethuel ^{1, 2} ; Giandomenico Orlandi ³ ; Didier Smets ¹

¹ Laboratoire Jacques-Louis Lions, Université de Paris 6, 4, place Jussieu, BC 187, 75252 Paris, France
² Institut Universitaire de France, 103, bd Saint-Michel, 75005 Paris, France
³ Dipartimento di Informatica, Università di Verona, Strada le Grazie, 37134 Verona, Italy

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     author = {Fabrice Bethuel and Giandomenico Orlandi and Didier Smets},
     title = {On an open problem for {Jacobians} raised by {Bourgain,} {Brezis} and {Mironescu}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {381--385},
     publisher = {Elsevier},
     volume = {337},
     number = {6},
     year = {2003},
     doi = {10.1016/S1631-073X(03)00367-4},
     language = {en},
}

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Fabrice Bethuel; Giandomenico Orlandi; Didier Smets. On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu. Comptes Rendus. Mathématique, Volume 337 (2003) no. 6, pp. 381-385. doi : 10.1016/S1631-073X(03)00367-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00367-4/

Bibliographie
Cité par

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