Definitely see your gp but an alternative could be Chinese Medicine - have you thought about using acupuncture to help clear it, check for a practitioner in your area -
Go see your GP ASAP, i wouldn't use any steriod based cream on your eyelids though as it is so delicate anyway and this will only make them thinner and more crinkly in thelong run. I did used to have a very small dot in my inner corner of my eye and used a cotton bud to dab some on once a week but for your whole eyelids you would need something a lot gentler than this.
evening primrose is very good for eczema you can take capsuales that are just as effective, doctors tend to give hydrocortizone cream which contain steroids and can thin the skin especially on the face around the eye area, evening primrose can be prescribed by the doctor for eczema xxx