Some results for functionals of Aharanov-Bohm type

Series: 
Analysis Seminar
Wednesday, February 13, 2019 - 1:55pm
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Tech
Organizer: 
In this talk I present some  variational  problems of Aharanov-Bohm type, i.e., they include a  magnetic flux that is entirely concentrated at a point. This is maybe the simplest example of a variational problems for systems, the wave function being necessarily complex. The functional is rotationally invariant and the issue to be discussed is whether the optimizer have this symmetry or whether it is broken.