I agree with Dr Ethan that this is likely to be eczema affecting the eyelids from the desciption but do see your dermatologist to confirm this.
Mild steroidal creams or non steroidal creams like elidel or protopic can help to settle the eczema. Avoid scratching and rubbing the area as this will further aggravate the skin. Yoy should also use a gentle soap free cleanser when washing the face.
If you are using cosmetics around the eyes, you may want to consider stopping this for a while as some products may cause the skin to become more itchy and red.
