Uniqueness of solutions to singular Liouville equations

Wednesday, March 21, 2018
Ora Inizio: 
17:00
Ora Fine: 
18:00
Aleks Jevnikar
Universita' di Pisa
Abstract. We deduce new uniqueness results for solutions to singular Liouville equations both on spheres and on bounded domains, as well as a new self-contained proof of previously known results. To this end, we derive a singular Sphere Covering Inequality based on the Alexandrov-Bol isoperimetric inequality and symmetric rearrangements. Joint project with D. Bartolucci, C. Gui and A. Moradifam.