Mini-Course in Geometric PDE

Variational Techniques for the Prescribed $Q$-Curvature Equation

After recalling the definition of $Q$-curvature and some applications, we will address the question of prescribing it through a conformal deformation of the metric. We will address some compactness issues, treated via blow-up analysis, and then study the problem, which has variational structure, using a Morse-theoretical approach.

Date & Time

October 21, 2008 | 1:30pm – 3:30pm

Location

S-101

Affiliation

Scuola Internazionale Superiore di Studi Avanzati, Italy and Member, School of Mathematics

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