Xerotic eczema https://en.wikipedia.org/wiki/Xerotic_eczema
Xerotic eczema is a form of eczema characterized by skin that becomes abnormally dry, red, itchy, and cracked. It occurs more frequently during winter and in dry conditions, with the lower legs especially affected. Xerotic eczema is common in elderly people.

Treatment
Avoid using soap.
#Moisturizer
#OTC steroid ointment
#OTC antihistamine
More information ― English
References Moisturizer in Patients with Inflammatory Skin Diseases 35888607 
NIH
Appropriate application of a moisturizer attempts not only to improve the dryness, but also improve the skin's natural barrier function to protect the skin from internal and external irritants to keep the skin healthy. Moisturizers consist of various ingredients, including occlusive agents, emollients, humectants, lipid mixture, emulsifiers, and preservatives.