18 jul 2014 -- 10:00
Aula Bianchi (SNS, Pisa)
Abstract.
We consider Liouville equations with variational structure arising from curvature prescription problems and from models in Electroweak or Chern-Simons theory. We show how improved versions of the Moser-Trudinger inequality may reduce these PDEs to the study of finite-dimensional topological spaces. We then derive existence of solutions via min-max or Morse theory.