I just saw this on Twitter, an idea of what an edge-to-edge iPhone screen next year may be like.
Sharp made this ultra-hot phone display with actual curved corners
http://www.theverge.com/2016/10/7/13197354/sharp-corner-r-curved-screen-phone-concept
http://www.theverge.com/2016/10/7/13197354/sharp-corner-r-curved-screen-phone-concept