Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity

Teresa D'Aprile

We are concerned with the existence of blowing-up solutions to the following boundary value problem $$-Δu= \la a(x) e^u-4πN δ_0\;\hbox{ in } Ω,\quad u=0 \;\hbox{ on }\partial Ω,$$…