Seminario / Pistoia
PROF. Angela Pistoia
Dipartimento SBAI - Sapienza Università di Roma
MARTEDI 8 MAGGIO 2018 ORE 11:15
SALA DI RAPPRESENTANZA
Blowing-up solutions for Yamabe-type problems
The Yamabe equation is one of the most natural and well-studied second-order semilinear elliptic equations arising in geometric variational problems.
The issue of the effect on a priori estimates of perturbing the geometric Yamabe equation has been recently studied and it is related to the existence of solutions blowing-up at one or more points in the manifold.
In this lecture, I will review these results and present more recent works on Yamabe-type problems, where solutions blowing-up along higher dimensional submanifolds have been found.