iPad Screen Popping Up - What Should I Do?

It sounds like the battery might be swelling, which is a serious issue. If that’s the case, you should get it replaced as soon as possible for safety reasons. As a temporary fix, you could try using some scotch tape or packing tape to hold the screen down until you can get it checked out.

An easy way to tell if your battery is swollen is to look at the device from the side. If the case is bulging or the screen is lifting away from the frame, that's a sign. It's best to handle this quickly and not use the iPad until you're sure it's safe.