If your adapter will not light the power –LED at least, don’t worry it is repairable!
Open up by unscrewing form the backside and releasing all hooks around the case! Obviously one capacitor is damaged. To take the board out solve the two power line connections at the top.
Unsolder the suspect capacitor and have a check. This one has a permanent current flow. I replaced it by two 6.3V 1000µF types in parallel. Last check before reassembling and happy flickering!