Sorry to say but the screen is most likely faulty. Sometimes it will have a crack that is very unnoticable on a corner or you need a microscope to even see the crack. A cracked LCD will not allow the screen to display.
Here's a repair guide if you want to replace the screen yourself:
[guide|31020]
Where to get the screen (Please check model number for correct screen):
[product|IF232-000]
Otherwise take it to a mobile phone repair shop for them to test the phone and find out if the screen is faulty or not.