The behavior of a Ginzburg-Landau minimizer near its zeroes

Calculus of Variations and Partial Differential Equations

Volumn 4, Issue 4, 1996, Pages 323-340

  Comte, Myriam ^a   Mironescu, Petru ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039837098     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01190822     Document Type: Article

References (14)

1. F. Bethuel, H. Brezis, F. Hélein: Asymptotics for minimizers of a Ginzburg-Landau functional. Calc. Var. 1 (1993) 123-148
2. F. Bethuel, H. Brezis, F. Hélein: Ginzburg-Landau Vortices. Birkhäuser (1994)
3. 2. Arch. Rat. Mech. Anal. 126 (1994) 123-148
4. M. Comte, P. Mironescu: Etude d'un minimiseur de l'énergie de Ginzburg-Landau près de ses zéros. C. R. Acad. Sci. Paris. 320 (1995) 289-293
5. M. del Pino, P. Felmer: Locally energy minimizing solutions of the Ginzburg-Landau equation. C. R. Acad. Sci. Paris. (to appear)
6. M. del Pino, P. Felmer: Local minimizers for the Ginzburg-Landau energy (to appear)
7. T. Iwaniec, C. Sbordone: On the integrability of the Jacobian under minimal hypoheses. Arch. Rational Mech. Anal. 119 (1992) 129-143
8. S. Lojasiewicz: Sur le problème de la division. Studia Math. 18 (1959) 87-136
9. C. Lefter, V. Rǎdulescu: Minimization problems and corresponding renormalized energies. Adv. Diff. Equ. (to appear)
10. C. Lefter, V. Rǎdulescu: On the Ginzburg-Landau energy with weight. Annales Inst. H. Poincaré, Analyse nonlinéaire (to appear)
11. P. Mironescu: Explicit bounds for solutions to a Ginzburg-Landau type equation. Rev. Roumaine Math. Pures Appl. (to appear)
12. 2)u. C. R. Acad. Sci. Paris 318 (1994) 327-331
13. M. Struwe: On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2-dimensions. J. Differ. Int. Eq. 7 (1994) 1613-1624
14. M. Struwe: Erratum to [S1]. J. Differ. Int. Eq. 8 (1995) 224