i think you mean psoriasis a common dermatological condition that can appear on any skin surface including the scalp. i am not sure what the "inverse" part is but then again i am not a dermatologist. so to address your question: yes it is possible to have psoriasis on the scalp. there are many different medications from steroid solutions to shampoos that can help; and there are prescription and over-the-counter medications to control the itching. give your dermatologist a call and ask for some help.
i will get nervous and jittery my head itches and i cannot fall asleep before bed. i wake up in the am with a rash. this has happened several times and it takes weeks before the rash goes away. my dermatolgist said it is inverse psyroissis. is that possible?