A variational approach to singular Liouville equations 21 février 20126 février 2012 adminFrumam Carte non disponible Date/heure Date(s) - 21/02/201210 h 00 min - 11 h 00 min Catégories Pas de Catégories We consider a class of Liouville equations on compact surfaces, motivated by the problem of prescribing conformal metrics with conical singularities, as well as by physical models in abelian Chern-Simons and Electroweak theory. We describe some new scaling invariant improvements of the Moser-Trudinger inequality, which yield existence of solutions once combined with topological arguments.