@mastersthesis {2015, title = {Variational aspects of singular Liouville systems}, year = {2015}, school = {SISSA}, abstract = {I studied singular Liouville systems on compact surfaces from a variational point of view. I gave sufficient and necessary conditions for the existence of globally minimizing solutions, then I found min-max solutions for some particular systems. Finally, I also gave some non-existence results.}, keywords = {Variational methods, Liouville systems, Moser-Trudinger inequalities, min-max methods}, author = {Luca Battaglia} }