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