i use lubriderm lotion from any store that sells hand lotions. i have been using it for years, its the only thing that works for me. hope it works for u
References :

Since it is in your eyes, I can only think of two things to try.

First, make sure your eczema is not caused by food allergies. To see, see a dermatologist. You could cut out various things. Common foods include eggs, wheat, and cow’s milk. If you don’t want to see a dermatologist, start cutting things out of your diet one item at a time and see if your eczema gets better.

Second, have you tried washing your eyelids daily? Wash with cold water and sensitive-skin soap, such as Dove or Aveeno. Make sure to moisturize afterward. If you are very, very careful to not get any in your eyes, you could wash the lids with vinegar. My suggestion is to use q-tips to rub it on and off, one lid at a time by dipping the end in vinegar, rubbing your eyelid, getting the other end, dip it in water, rinse your lid with this, then dry your eyelid.

If those don’t work, you might consider going to your doctor.
References :
http://eczema-natural-healing.com/eczema-food-allergies.html < breaks down different foods that may cause eczema to break out.