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
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.