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My son went through the same thing. Doctors don't have a cure, they'll give steroid based creams and lotions that don't really work. The problem with my son was that he had a vitamin B12, vitamin A and omegas deficiency. He is currently taking vitamin B12 shots and vitamin A and omega 3,6 supplements. His skin has cleared up substantially.
Yes, fresh vegetable juice, stay away from processed foods and stay away from sweets.it is hard to stay away from those types of foods since about 85% of food that is sold in stores have been processed one way or the other. Keep in mind that our body is made of nutrients and not medicine. So, there is nothing a doctor can give you that'll correct your skin. You won't see a change right away by this diet since it takes a while for your body to get rid of all toxins but at the end is well worth it.
Does it stay red and inflamed like on the photo or does it go through a dry phase in which the skin develops flakes?
If you have tried all sorts of creams and they did not help it might be related to a contact dermatitis. In that case, the skin condition will only improve after you eliminate any contact with the allergen/skin irritant.
You could try to use the mildest soaps, shampoo and skin products you can possible find. Try to avoid those that contain sulphonated fatty acids (Lauryl Sulphate, Laureth Sulphate, Coco Sulphate, etc). These are very harsh to the skin and are known irritants. Even some toothpastes contain these harsh foaming agents.
In general, use cosmetic products and cleaning products with as few ingredients as possible. It will make it easier to find out if you are allergic to a specific ingredient.
You could also set your washing machine to perform an extra rinse cycle when doing your laundry. Avoid fabric softeners as they are added to the last rinse cycle. Try to eliminate as much detergent as possible from your laundry. (Residual detergent on a shirt collar might worsen the skin irritation on your neck.)
Like Bellla suggested it would be good to have your dermatologist perfom an allergy test.
I agree that this could be a contact allergy to a shampoo or conditioner as this is similar to a rash that I had for 2 years. I've just been patch tested at hospital and found that I'm allergic to a chemical called MI. This is a chemical preservative found in soaps, shampoos, cleaning products to name but a few. Other common allergens are parabens and SLS according to the dermatologist, but I was patch tested for 95!. I'm so relieved that I found an answer to something that I was being given stronger and stronger medication for and could have been avoided had I just been patch tested straightaway. Hope you find an anwer soon as well.