On the construction of non-simple blow-up solutions for the singular Liouville equation with a potential

Teresa D'Aprile, Juncheng Wei, Lei Zhang

We are concerned with the existence of blowing-up solutions to the following boundary value problem $$-Δu= λV(x) e^u-4πN δ_0\;\mbox{ in } B_1,\quad u=0 \;\mbox{ on }\partial B_1,$$…