I have the same problem. I dropped my phone 2 feet onto carpet, not even two weeks after buying it, and it completely shattered. The gorilla glass might be scratch resistant but if you even look at it funny it shatters. If you do a Google search, you'll see that many other people have the same problem.
I found one place in the UK that sells a replacement screen but after shipping its almost as expensive as a new phone. Dell wont sell a replacement screen just a new phone for ONLY $300.
It sucks but i'm just going to wait till I can buy a cheaper screen or someone files a class action lawsuit against dell.