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 28, 2008 | 1:30pm – 3:30pm
Location
S-101Speakers
Affiliation
Scuola Internazionale Superiore di Studi Avanzati, Italy and Member, School of Mathematics