You may also be suffering from a condition called Hyperhydrosis (excessive sweating). If you do a search on the internet for "Excessive Sweating" or "hyperhydrosis" there will be lots of information (products to use) that may be of some help. I have been suffering from this condition for at least 5yrs now and thought it was the deodorant I was using. It very well could have been, but, I tried so many that I knew it was me. In fact, it was so awful that I had to change my clothes at least 2 times a day and I was always trying to hide my arms (very embarassing trying to hide the sweat). I've been using a product called Drysol for the past 4mths and have noticed a considerable amount of change in sweat. I only have to apply the product 2 times a week and hardly ever have to use any deodorant at all. It's not at all that expensive either, it cost me approx $15 Cdn. I am finally comfortable with myself and I haven't been spending nearly as much on laundry detergent!
Good luck to you and hopefully you find something that works!