Volume 10, Issue 1
On the Zeros and Asymptotic Behavior of Minimizers to the Ginzburg-Landau Functional with Variable Coefficient

Shijin Ding and Zuhan Liu

J. Part. Diff. Eq., 10 (1997), pp. 45-64.

Preview Full PDF BiBTex 85 247
  • Abstract

In this paper a partial answer to the fourth open problem of Bethuel-Brezis- Hélein [1] is given. When the boundary datum has topological degree ± 1, the asymptotic behavior of minimizers of the Ginzburg-Landau functional with variable coefficient \frac{1}{x_1} is given. The singular point is located.

  • History

Published online: 1997-10

  • AMS Subject Headings

  • Cited by