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Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect. (English) Zbl 1056.35055

Summary: 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.

MSC:

35J20 Variational methods for second-order elliptic equations
74F25 Chemical and reactive effects in solid mechanics
74G65 Energy minimization in equilibrium problems in solid mechanics
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