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

Comptes Rendus Mathematique

Volumn 337, Issue 6, 2003, Pages 381-385

  Bethuel, Fabrice ^a,b   Orlandi, Giandomenico ^c   Smets, Didier ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b INSTITUT UNIVERSITAIRE DE FRANCE   (France)

^c UNIVERSITY OF VERONA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142184317     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00367-4     Document Type: Article

References (10)

1. G. Alberti, S. Baldo, G. Orlandi, Variational convergence for functionals of Ginzburg-Landau type, Preprint, 2002.
2. J. Bourgain, H. Brezis, Work on the curl-div system, in preparation.
3. 1/2 maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation, in press.
4. F. Bethuel, G. Orlandi, D. Smets, Approximation with bounded vorticity for the Ginzburg-Landau functional, in preparation.
5. F. Bethuel, H. Brezis, F. Hélein, Ginzburg-Landau Vortices, Birkhäuser, Boston, 1994.
6. H. Federer, Geometric Measure Theory, Springer, Berlin, 1969.
7. R. Jerrard, Lower bounds for generalized Ginzburg-Landau functionals, SIAM J. Math. Anal. 30 (1999) 721-746.
8. R.L. Jerrard, H.M. Soner, The Jacobian and the Ginzburg-Landau energy, Calc. Var. Partial Differential Equations 14 (2002) 151-191.
9. E. Sandier, Lower bounds for the energy of unit vector fields and applications, J. Funct. Anal. 152 (1998) 379-403.
10. E. Sandier, S. Serfaty, A rigorous derivation of a free-boundary problem arising in superconductivity, Ann. Sci. ENS 33 (2000) 561-592.