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. http://cvgmt.sns.it/seminar/440/
When
Fri Jul 18, 2014 8am – 9am Coordinated Universal Time