Hello,
Welcome to healthcare magic.
Pigmentation around the eyes could be due to various factors including familial, thin skin around the eyes,
diabetes mellitus , deep eye sockets, stress and lack of sleep.
You will not benefit from using topcort cream around the eyes. Is is a mid potent steroid and should not be used for prolonged duration.
You could benefit from using cream containing 2% kojic acid and vitamin C twice a day.
You could also get
glycolic acid peels done by a
dermatologist once weekly for 6-8 times.
If your eye sockets are very deep, they can cause a "shadow effect" which can be treated using dermal fillers.
Lifestyle factors play an important role in reducing
dark circles.
Have a good diet with lots of fresh fruits and vegetables. Try to reduce stress by yoga/
meditation.
avoid prolonged computer/ TV usage.
Try to get sound sleep for atleast 6 -7 hours a day.
these measures may help to lighten the pigmentation.
Hope they help you.
Take care.