I had my Mini hooked up to an APC battery backup when the power went out. It shut down the computer safely (I thought), but my monitor isn't on the battery backup. When the power finally came back on, it wouldn't boot. The power light didn't even come on. I tired putting it in another room on another circuit, nothing. I decided to leave it unplugged overnight and it worked the next day. My question is, does the power supply have a safety in it, or am I likely to have a problem in the future? This computer is less than half a month away from my Apple Care expiring, and I don't want it to fail just after I can't get it fixed again. Has anyone else had this problem?