Variational Techniques for the Prescribed $Q$-Curvature Equation
| MINI-COURSE IN GEOMETRIC PDE | |
| Topic: | Variational Techniques for the Prescribed $Q$-Curvature Equation |
| Speaker: | Andrea Malchiodi |
| Affiliation: | Scuola Internazionale Superiore di Studi Avanzati, Italy and Member, School of Mathematics |
| Date: | Tuesday, October 21 |
| Time/Room: | 1:30pm - 3:30pm/S-101 |
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.