科研之友
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摘要
For type I superconductors with penetration parameter lambda below a certain critical value, the existence of multiple local minimizers of the energy functional is shown. The behavior of these minimizers is examined when the Ginzburg-Landau parameter is small, and a hysteresis phenomenon is demonstrated. In contrast to the case investigated by X. B. Pan [J. Math. Phys. 44, 2639 (2003)] where lambda is above the critical value, the results presented in this paper show that type I superconductors with lambda below the critical value have higher critical magnetic field H-c, and exhibit more complicated superconducting behavior.
