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Try shining a flashlight on the screen to see if you can see anything. There is a chance the backlight is not working. If this is the case, the flashlight will allow you to see if there is anything on the screen. If that does not yield anything, do you have a microHDMI to HDMI adapter to hook up to a TV and see if it works on there? If it does, then it is a display issue. It could be a bad video card, bad video cable, bad backlight, or bad backlight cable.
Either way, I would call Asus and have them take a look at it and see if they can fix it. It should still be under warranty.