# Improved Moser-Trudinger inequalities and Liouville equations on compact surfaces

Friday, September 16, 2011 -

3:00pm to 5:00pm

We consider a class of equations with exponential nonlinearities and possibly singular sources motivated from the study of abelian Chern Simons models or from the problem of prescribing a metric with conical singularities through conformal transformations. Using new improvements of the classical Moser-Trudinger inequality and, combined with topological methods, we derive some general existence results.

Speaker:

Andrea Malchiodi

Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste

Event Location:

Fine Hall 314