Calculus of Variations and Geometric Measure Theory

A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6

Luca Martinazzi (University of Padua)

created by gelli on 17 May 2018
modified on 23 May 2018

23 may 2018 -- 17:30   [open in google calendar]

Aula Seminari (Dipartimento di Matematica di Pisa)


Contrary to the Yamabe case, metric of prescribed Q-curvature (which we will briefly discuss) in dimension 4 and higher, can blow-up both on isolated points and on higher dimensional submanifolds, as discovered by Adimurthi, F. Robert and M. Struwe. We will show, in a radially symmetric situation, that both kind of blow-up behaviour can happen at the same time. This is based on a joint work with A. Hyder.