Improved estimates for the Ginzburg-Landau equation : the elliptic case
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 319-355.

We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the GL-energy E ε and the parameter ε. These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.

Classification : 35J60, 35B40, 35Q40, 31B35, 46E35
Bethuel, Fabrice 1 ; Orlandi, Giandomenico 2 ; Smets, Didier 3

1 Laboratoire Jacques-Louis Lions Université de Paris 6 4 place Jussieu BC 187 75252 Paris, France
2 Dipartimento di Informatica Università di Verona strada le Grazie 37134 Verona, Italy
3 Centro di Ricerca Matematica Ennio De Giorgi Scuola Normale Superiore di Pisa Piazza dei Cavalieri 3 56100 Pisa, Italy
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Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier. Improved estimates for the Ginzburg-Landau equation : the elliptic case. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 2, pp. 319-355. http://www.numdam.org/item/ASNSP_2005_5_4_2_319_0/

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