A variational approach to singular Liouville equations

Date/heure
Date(s) - 21/02/2012
10 h 00 min - 11 h 00 min

Catégories Pas de Catégories

$We\; consider\; a\; class\; of\; Liouville\; equations\; on\; compact\; surfaces,\; motivated\; by\; the\; problem\; of\; prescribing\; conformal\; metrics\; with\; conical\; singularities,\; as\; well\; as\; by\; physical\; models\; in\; abelian\; Chern-Simons\; and\; Electroweak\; theory.\; We\; describe\; some\; new\; scaling\; invariant\; improvements\; of\; the\; Moser-Trudinger\; inequality,\; which\; yield\; existence\; of\; solutions\; once\; combined\; with\; topological\; arguments.$