To relieve itching and burning on your eyelids due to eczema, you can start by applying a cream specifically designed for the eye area, 2 to 3 times a day. If you don't see improvement after a few days, you may need to use a cortisone-based product. For eczema on the upper eyelid, an over-the-counter cream containing 0.5% hydrocortisone can be applied twice a day, making sure to avoid getting it too close to the eye. If the eczema is near the eye, you may need a prescription for a cortisone ointment formulated for use around the eye and lashes. It's best to consult a doctor or optometrist for this. I hope this information helps you, and feel free to provide more details if needed. Thank you.