Lifting in Sobolev spaces
Bourgain, Jean ; Brezis, Haïm ; Mironescu, Petru
HAL, hal-00747691 / Harvested from HAL
Text on HAL
We characterize the couples $(s,p)$ with the following property: if $u$ is a complex-valued unimodular map in $W^{s,p}$, then $u$ has (locally) a phase in $W^{s,p}$.
Publié le : 2000-07-05
Classification:  unimodular maps,  lifting,  Sobolev spaces,  46E35 ; 35J20 ; 58D15 ; 58E20,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00747691,
     author = {Bourgain, Jean and Brezis, Ha\"\i m and Mironescu, Petru},
     title = {Lifting in Sobolev spaces},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00747691}
}

Bourgain, Jean; Brezis, Haïm; Mironescu, Petru. Lifting in Sobolev spaces. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00747691/