I'm sorry to hear that you're having this problem.
I would recommend having the unit serviced. You can call 800-SAMSUNG or set up an online service request form here:
There's no troubleshooting that I could recommend. Even a temporary fix may result in a bigger problem down the road, and I don't want to see your warranty run out before you get it repaired.
My tv isn't even a year old, and it won't turn on. The only way it turns on is if I unplug it and plug it back in. I've tried turning it on from the remote and the tv itself and it just won't turn on no matter how many times I press the power button - only after I unplug it. Suggestions?