Abstract and Applied Analysis
Volume 5 (2000), Issue 2, Pages 101-112

Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect

Shuichi Jimbo1 and Jian Zhai2

1Department of Mathematics, Hokkaido University, Sapporo 060, Japan
2Department of Mathematics, Zhejiang University, Hangzhou, China

Received 2 November 1999

Copyright © 2000 Shuichi Jimbo and Jian Zhai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove the existence of vortex local minimizers to Ginzburg-Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.