SOME PROPERTIES OF THE GINZBURG-LANDAU MI NIMIZERS

Authors
COMTE M MIRONESCU P
Citation
M. Comte et P. Mironescu, SOME PROPERTIES OF THE GINZBURG-LANDAU MI NIMIZERS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(11), 1995, pp. 1323-1326
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
11
Year of publication
1995
Pages
1323 - 1326
Database
ISI
SICI code
0764-4442(1995)320:11<1323:SPOTGM>2.0.ZU;2-C
Abstract
If u(epsilon) is a Ginzburg-Landau minimizer, we prove that, for small epsilon, \u(epsilon) (x)\ similar to \x - x(epsilon)\/epsilon in a ba ll B-epsilon (x(epsilon)) centered at a zero of u(epsilon). As a conse quence, we derive, for alpha > 0, the estimate integral(G) (\u(epsilon )\ (1 - \u(epsilon)\))(alpha)\del (u(epsilon)/\u(epsilon)\)(2) less th an or equal to as epsilon --> 0. This answers a question of [2].