Red eyelid on corner of eye and very dry flaky skin on corner of eye. treated with methylprednisotone aceponate but temporary effect, what to do?

Rash, or allergy: It may be from an allergy to chemical in shampoo, conditioner, facial soap, lotion, eye make-up, or an airborne allergy. As long as you get exposed to the chemical, the problem will persist. Patch testing by a dermatologist can identify the offending allergen. Then avoidance of the chemical, along with temporary use of a milder cortisone should clear up the problem.

Angular blepharitis.: There is a distinct entity that affects the corners of the eye called angular blepharitis. It can be allergic/atopic in nature, but commonly can also be associated with bacterial infection and would require treatment with antibiotics. If steroids like Methylprednisolone aceponate have not helped, you should be re-evaluated by an eye md (ophthalmologist) for the necessity of antibiotic treatment.