I have dry skin under my eyes and on top of my eyelid. What could iput on them?

Skin l ubricant. There; are many products on the market advertised as eye creams. These mostly have the same ingredients and any of them are useful. Cut down the frequency of washing with soaps and use the cream lightly 2 times per day. This should loosen and hydrate the top layer and get you out of this dry skin issue.