dark circles under the eyes are hereditary, so you can't completely get rid of them. what you see is blood in the vessels because the skin there is so thin.

what does seem to help is raising the head of your bed a few inches, so that, while you are sleeping, the blood doesn't pool under your eyes. taking vitamin K supplements (strengthens blood vessels) is also of some benefit.
My blog:

http://labellatestarossa.blogspot.ca/

Little Mother of all the Roaches, President-for-Life of the MAC Harlots!