no. 3
Partial Differential Equations
Lifting of BV functions with values in S1
[Relèvement des fonctions BV à valeurs sur le cercle S1]
Présenté par : Haïm Brezis
Dávila, Juan1 ; Ignat, Radu2
1 Departamento de Ingenierı́a Matemática, CMM (UMR CNRS), Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile
2 École normale supérieure, 45, rue d'Ulm, 75230 Paris cedex 05, France
Comptes Rendus. Mathématique, Tome 337 (2003) no. 3, pp. 159-164

We show that for every , there exists a bounded variation function such that u=eiϕ a.e. on and |ϕ|BV⩽2|u|BV. The constant 2 is optimal in dimension n>1.

On montre que pour tout , il existe une fonction à variation bornée telle que u=eiϕ p.p. dans et |ϕ|BV⩽2|u|BV. La constante 2 est optimale en dimension n>1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00314-5

Dávila, Juan 1 ; Ignat, Radu 2

1 Departamento de Ingenierı́a Matemática, CMM (UMR CNRS), Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile
2 École normale supérieure, 45, rue d'Ulm, 75230 Paris cedex 05, France 
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Dávila, Juan; Ignat, Radu. Lifting of BV functions with values in S1. Comptes Rendus. Mathématique, Tome 337 (2003) no. 3, pp. 159-164. doi: 10.1016/S1631-073X(03)00314-5

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