TY - JOUR T1 - On the Zeros and Asymptotic Behavior of Minimizers to the Ginzburg-Landau Functional with Variable Coefficient AU - Shijin Ding & Zuhan Liu JO - Journal of Partial Differential Equations VL - 1 SP - 45 EP - 64 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5581.html KW - Ginzburg-Landau functional KW - asymptotics KW - vortices AB - 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.