I keep getting flare ups of dry puffy itchy skin under and above eyes. What are the causes and treatment. I have tried vaseline and hydrocortisone?

Many. Allergic reaction to cosmetics and/or incompletely dried nail polish comes to mind. As long as you are exposed to them, the problem will not go away. Consult a dermatologist if changing eye cosmetics does not help. Note that it will likely take a week for you to see any improvement if the cosmetic is the cause.