LOCAL MINIMIZERS FOR THE GINZBURG-LANDAU EQUATION ARE RADIALLY SYMMETRICAL

Authors
MIRONESCU P
Citation
P. Mironescu, LOCAL MINIMIZERS FOR THE GINZBURG-LANDAU EQUATION ARE RADIALLY SYMMETRICAL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(6), 1996, pp. 593-598
Citations number
35
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
6
Year of publication
1996
Pages
593 - 598
Database
ISI
SICI code
0764-4442(1996)323:6<593:LMFTGE>2.0.ZU;2-0
Abstract
We consider the equation -Delta u = u(1 - \u\(2)) in R(2). We prove th at local minimizers (in the sense of [8]) are radial. We find sufficie nt conditions for the radial symmetry of other solutions.