this looks like atopic dermatitis also confirmed with biopsy.
management is as follows.
Topical corticosteroids can be applied once or twice daily for two to four weeks.
for mild disease , low potency steroids like hydrocortisone are used.
For patients with moderate disease, we suggest medium to high potency
corticosteroids (eg,flucinolone, triamcinolone, betamethasone)
topical calcineurin inhibitor like tacrlimus can be used to treat if steroids do not help.
Patients with moderate to severe atopic dermatitis that is not controlled with optimal topical therapy may require phototherapy or systemic immunosuppressant treatment to achieve adequate disease control. they should be used when other management options have failed and the disease has a significant impact on the quality of life.
I hope this helps.