Calculus of Variations and Geometric Measure Theory

Uniqueness of solutions to singular Liouville equations

Aleks Jevnikar (University of Udine)

created by gelli on 12 Mar 2018

21 mar 2018 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa


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.