I'm also asian (Chinese) and I get this problem sometimes. However, I have large eyes and a natural double eyelid to start with, so it turns into a TRIPLE eyelid and it looks horrible. When I get the triple eyelid, I feel like I can't open my eyes all the way. It only happens on my left eye, but that might be because I got stitches on my right eyelid when I was 9.
This happens when I fall asleep crying, but if I stop crying before I fall asleep, I usually wipe out all the moisture above my eyes and make sure they dry the right way before I sleep. I know how to avoid this problem now, but it's quite annoying when it happens. For me, it usually goes away in half an hour or so after I wake up.