Geometric Flows and Geometric Operators

# seminar: Multiplicity result for a scalar field equation

speaker: Francesca De Marchis (Università degli Studi di Roma Sapienza)

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\pi2) we show under some extra assumptions that, besides a local minimum, the functional admits at least other two saddle points.

timetable:
Wed 6 May, 17:00 - 18:00, Aula Dini
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