Maybe this isn't a very common problem because I can find very little information on it. Nothing in the Verizon forums, but a few posts in the web. Anyway, I have a Galaxy S5 black that's 16 months old and the screen is starting to delaminate. It LOOKS just like a plastic screen protector starting to peel off, but then I peeled off the screen protector and it's the glass on the screen itself coming unglued from whatever it's mounted to.
I called Samsung and they say it's out of warranty (they said warranty had expired sometime in July 2015, and I bought the phone in April 2014, so that was more than a year) and they'll do nothing for free. Guy wouldn't even give me an estimate for repair, just said I could send it in and it would take 2 weeks.
I let him know that this doesn't make me want to buy another Samsung product. It's been a pretty darned good phone, but if the screen is going to self-destruct after a year and a half that makes it a useless piece of junk after only 16 months. Not such a good phone after all.