Acoustic Black Hole (ABH) is a new passive technique for vibration damping of thin-walled strutures such as beams and plates. It consists of a local decrease in the thickness profile, associated to the deposit of a thin viscoelastic coating in the thinnest region. One of the common feature for this technique is that it is very efficient in the high frequency range, but it is less optimal in the low frequency range. To overcome this limitation,we propose to investigate the benefit brought by different types of nonlinear dampers into the system. The effect of a Tuned Mass Damper (TMD), a Nonlinear Energy Sink, and a Bistable Nonlinear Energy Sink are respectively considered and compared. The dynamics of these systems are numerically solved using a modal approach with an energy conserving scheme. Then, by defining some frequency indicators, the low frequency performance of each aforementioned strategy is characterized. It is demonstrated that, if appropriately designed, all the proposed methods can effectively reduce the low frequency resonance peaks in the ABH structure, and hence improve the average performance of an ABH.