[CvGmt News] GFO-Pisa Seminars - Wednesday 6 May 2009

Carlo Mantegazza c.mantegazza at sns.it
Tue May 5 19:02:24 CEST 2009


Talks of tomorrow, 6/5/09, at 17.00 in Aula Dini of the Scuola Normale 
Superiore, Palazzo del Castelletto, in connection with the
research trimester "Geometric Flows and Geometric Operators"
at the Centro De Giorgi in Pisa:


Francesca De Marchis, SISSA, Trieste

"Multiplicity result for a scalar field equation"

Abstract: We consider a scalar field equation on compact surfaces which is 
related to the problem of prescribing the Gauss curvature.
Since the problem has variational structure, solutions of the equation can 
be found as critical points of the Euler-Lagrange equation. When
the surface is a torus and a physical parameter $\rho$ belongs to $(8\pi, 
4\pi^2)$ we show under some extra assumptions that, besides a
local minimum, the functional admits at least other two saddle points.

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