When cutting the striping tape to the required length, always make sure you cut it slightly shorter, if you go right up to the edge of your nail it always lifts. Make sure you smooth it down with something like a cotton bud before topcoating.
If you still find the ends curling up to meet you ... try putting a bit of adhesive on the ends. Hth.
I found that you need to cut it very slightly shorter than the length you need otherwise it'll get caught in hair/clothes etc. and start to lift off. Also smooth down gently with orange stick or similar to make it nice and flat. Then apply a couple of coats of top coat and it should be okay!