One of my sister's dog had a similar problem, purely around the eyes-however, this was due to her other dog grooming Frankie's eyes excessively and caused a reaction resulting in the hair loss. Don't suppose you have another dog do you?
Hi,
My dog started with symptoms like this at 9 months old - the vet said it's atopia - an allergic reaction to something in his environment. He had a couple of eye ointment treatments, which didn't work, but now we control it with Prednisole Forte drops - as soon as I see the hairloss starting, he has a drop in each eye 3/4 times a day, for about a week. For the hairloss around his mouth and under his nose I rub in Fuciderm gel twice a day, also for about a week - usually clear then for a couple of months!
Hilda