sounds like a dodgy connection, I don't know the device but if it is possible I would try and open it up and check the connection of the ribbon cable to the motherboard. depending on how the device is held together it shouldn't be to difficult or time consuming to do, and you can probably find a teardown on the internet to follow if there isn't one here in about 30 seconds as it is a well known brand
I don't enough about phones to be 100% certain but I am like 90% sure that your Display is broken, you can buy them from ebay for very little and to replace one isn't massively difficult, you can find a teardown of this device on youtube and I followed that as this was the first device I took apart and it worked fine when I put it back together. My y330 currently has a smashed screen and a few dead pixels so when the replacements arrive I will make a repair guide to the best of my ability on how to replace them.
just did some edits to this repair guide fixing that issue, the edits are just waiting to be verified, sorry about the poor image quality in the new step 6 best I could do with only 2 hands and a OnePlus One camera.