If you're ditching the scroll bar, maybe just add a dark triangle to the lower left corner of the screen, just a few pixels, as a "continued below" indicator. H

If you're ditching the scroll bar, maybe just add a dark triangle to the lower left corner of the screen, just a few pixels, as a "continued below" indicator. Have it disappear when you're at the bottom. That's the most minimal UI element I can think of that would people if they're at the end of a screen or not.