Abstract and Applied Analysis 
Volume 5 (2000), Issue 2, Pages 101-112
doi:10.1155/S1085337500000233

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

Abstract

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.