Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 30, pp. 1-21.

Title: Radial minimizers of a Ginzburg-Landau functional

Authors: Yutian Lei, (Jilin Univ., Changchun China)
 Zhuoqun Wu (Jilin Univ., Changchun China)
 Hongjun Yuan (Jilin Univ., Changchun China)

Abstract: 
  We consider the functional
  $$
  E_\varepsilon(u,G) =\frac 1p\int_G|\nabla u|^p
  +\frac{1}{4\varepsilon^p}\int_G(1-|u|^2)^2
  $$
  with $p>2$ and  $d>0$, on the class of functions
  $W=\{u(x)=f(r)e^{id\theta} \in W^{1,p}(B,C);
  f(1)=1,f(r)\geq 0\}$. The location of the zeroes of the
  minimizer and its convergence as $\varepsilon$ approaches zero
  are established.

Submitted June 8, 1999. Published September 9, 1999.
Math Subject Classifications: 35J70
Key Words:  Ginzburg-Landau functional; radial functional; zeros of a minimizer.