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

Shijin Ding & Zuhan Liu

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

Published online: 1997-10

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  • 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.
  • Keywords

Ginzburg-Landau functional asymptotics vortices

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@Article{JPDE-10-45, author = {Shijin Ding and Zuhan Liu }, title = {On the Zeros and Asymptotic Behavior of Minimizers to the Ginzburg-Landau Functional with Variable Coefficient}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {1}, pages = {45--64}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5581.html} }
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.
Shijin Ding and Zuhan Liu . (1997). On the Zeros and Asymptotic Behavior of Minimizers to the Ginzburg-Landau Functional with Variable Coefficient. Journal of Partial Differential Equations. 10 (1). 45-64. doi:
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