I have this problem that under my arms they perspire. I'm not perspiring because I'm hot it even happens when I'm cold. I can't wear certain colors of tops because of the wet marks. It happens more on my right side than my left. Does anyone know why this happens and what I can do to help. I were anti-perspirant and it doesn't help. Any advice?

Sounds like you may suffer from excessive sweating a.k.a. Axillary Hyperhidrosis. There has been one treatment that has seemed to be extremely effective. It is Botox injections and from what I understand this treatment surpasses any other treatment. Perhaps you could discuss this with a dermatologist.
In the meantime check out this site for more information.
http://excessivesweating.org/

My daughter had this problem and the doctor told her to try a anti-prespirant called Certain-dry. Your pharmacist has to special order it, no prescription required. It has really helped her.

Just wanted to let you know I went to the doctor last week regarding this problem and she told me to try Drysol. I used it Friday night and have not had to use it since and I've been DRY!! It's so nice just to wear whatever I want and not have to worry about if it is going to show the wet marks under my arms. It's wonderful.