I got the iphone 6 11 days ago and it won't turn on?

I got the iphone 6 11 days ago and it won't turn on. When I plugged it in last night it said it was charging but now there's no response. It seems like it's dead and there's nothing I can do to turn it on. I tried holding home and the on/off button, I tried plugging it into my lap top while holding the home button and just holding the on/off button, nothing seems to work.

Take it to the apple store or send it to them and they'll diagnose the problem, which is most likely hardware and not software, and they will either fix it or replace it for free. You are still under their one year apple care warranty.