Properties of the solutions of the Ginzburg-Landau
equation on the bifurcation branch |
| |
Authors: | Email author" target="_blank">Myrto? SauvageotEmail author |
| |
Institution: | (1) Laboratoire d Analyse Numérique, CNRS-Université Pierre et Marie Curie 4 place Jussieu, F-75252 Paris, France |
| |
Abstract: | Generalizing previous results of M. Comte and P. Mironescu, it
is shown that for degree d large enough
(such that
), there
is a bifurcation branch in the set of the solutions of the Ginzburg-Landau
equation, emanating from the branch of radial solutions at the critical value
d of the parameter. Moreover, the solutions on the bifurcation branch admit
exactly d zeroes, and the energy on the bifurcation branch is strictly smaller
than the energy on the radial branch. |
| |
Keywords: | 34L30 35B05 35B32 |
本文献已被 SpringerLink 等数据库收录! |
|