Domain perturbation method and local minimizers to Ginzburg‐Landau functional with magnetic effect
Shuichi Jimbo, Jian Zhai · Abstract and Applied Analysis · 2000
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.