Thanks for posting your query at DoctorSpring.com
I can understand your concern.
This seems to be a case of dermatitis. I would recommend application of cortisone cream mixed with Mupirocin cream twice a day for a week.
Also you need to keep the skin moisturized daily by application of a moisturizing cream.
In case the condition worsens or you get deep cracks and bleeding it would be best to consult your dermatologist for further evaluation.
Please let me know if you have any queries.