Knut Smoczyk and Andrea Malchiodi
16:15 Uhr | Knut Smoczyk (Hannover) | On the topology of translating solitons of the mean curvature flow
This is joint work with Francisco Martin (Granada) and Andreas Savas-Halilaj (Hannover). We obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow in euclidean space. |
17:45 Uhr | Andrea Malchiodi (SISSA) | A variational approach to Liouville Equations
We consider Liouville equations arising from curvature prescription problems and from models in Electroweak and Chern-Simons theory. We show how improved versions of the Moser-Trudinger inequality, combined with min-max theory, may reduce these PDEs to the study of finite-dimensional objects consisting of measures supported at finitely-many points. These are joint works with D. Bartolucci, A. Carlotto, F. De Marchis and D. Ruiz. |