I have pretty much the same problem with an A1347 mid-2011 Mini. Hit power, a flash of light, then nothing. Power supply, or logic board? It worked perfectly before it spent two months on a ship (well packed) on it’s way to me here in the UK. Any pointers on how to isolate the snag would be much appreciated.
I have the same problem. The machine was disconnected and spent two months at sea, on it’s way to England. Connected it all up and all I get is the flat and nothing else. I have replaced the PRAM battery, but that didn’t help. No power supplies available. Anyone else had any success?