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 28 |

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.