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Seminario di Equazioni Differenziali e Applicazioni: Uniformization of surfaces with conical singularities

Lunedì 12 Maggio 2014, ore 15:00 - Aula 2BC30 - Andrea Malchiodi

ARGOMENTI: Seminari

SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI

Lunedì 12 Maggio 2014 alle ore 15:00 in aula 2BC30, Andrea Malchiodi (SISSA, Trieste) terrà un seminario dal titolo "Uniformization of surfaces with conical singularities".

Abstract
We consider a class of singular Liouville equations which arise from the problem of prescribing the Gaussian curvature of a surface imposing a given conical structure at a finite number of points (as well as from models in Chern-Simons theory). The problem is variational, and differently from the "regular" case the Euler-Lagrange functional might be unbounded from below. We will look for critical points of saddle type using a combination of improved geometric inequalities and topological methods. This is joint work with D.Bartolucci, A.Carlotto, F.De Marchis and D.Ruiz.

Rif. Int. M. Bardi, E. Feleqi, D. Castorina

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