While your warranty is still valid, Apple can give you a warranty replacement, regardless of where you originally bought the product from (with some weird exceptions for 3G units purchased in other countries).what id I bought it at best buy, will an apple store still replace it?
Note that a warranty replacement may be a refurbished unit, although this soon after the launch, that's not likely.
If you were asking this question six months after a launch, and you're the type of person that would absolutely flip out if there was a chance Apple's warranty process might give you a refurbished unit, your best bet would be to return your faulty unit for a refund (to wherever you originally bought it from) and then buy another new one.