Your symptoms fit Atopic dermatitis, which often worsens in winter due to dry air. Keep the area well moisturized with a thick, fragrance-free cream (apply 2?3 times daily), use a gentle face wash instead of soap, and avoid hot water and harsh products. For itching or redness, a mild cream may be needed temporarily, and an antihistamine like Cetirizine can help reduce itching. If it becomes severe or doesn?t improve, consult a dermatologist for proper treatment.