Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential (Q2197801)

The paper under review is concerned with the study of the transition from normal to superconducting solutions within the Ginzburg-Landau system with Aharonov-Bohm magnetic potential. A central result of this paper establishes oscillatory patterns which are consistent with the Little-Parks effect. Next, the authors study the same problem but for a regularization of the Aharonov-Bohm potential. In this framework, the authors prove that the transition between superconducting and normal solutions is not monotone.