How to get the under-eye area more compact and slightly lifted?

It's hard to describe. I was probably born with an under-eye support deficit. If I look on some pictures of me as a child you can see a hollow area directly below my lower eyelid, I think it has something to do with that probably my cheeks are pretty low. I'm pretty much happy with my eyes and eye angle, but somehow my lower eyelid are a bit loose just before the lateral canthus. So how could I get more volume that also lifts a bit the lower eyelid to stabilize it (no implants)?