Special Session 93: 

Blow up phenomena for Liouville systems

Luca Battaglia
Roma Tre University
Italy
Co-Author(s):    
Abstract:
We consider a general systems of two coupled Liouville-type PDEs on a bounded planar domain. Using a perturbation argument we will construct a family of blowing-up solutions. In particular, we will consider blow-up profiles known as tower of bubbles or cluster of bubbles, which look like a superposition of rescaled entire solutions of a Liouville equation.