It obviously depends upon the type of sweating that you have. I think a "cure" for the overall condition may be too much to hope for, but there are certainly many ways now to alleviate or hide the symptoms.
My face used to sweat profusely whenever I was in a situation that made me even slightly nervous. When I was alone it never used to happen, so I know it was purely mental and there was nothing "biologically" wrong with me.
Now that I use products like Anhydrol Forte and Odaban on my face, I simply cannot, physically sweat there. Even when I do sports, it just doesn't happen. Because of this, I am now doing things that I otherwise would have avoided.
Last Saturday, for example, I went out for a meal with some friends. It was a very small table and we were all crowded round it, pretty much in each other's faces. Normally, that would have set me off (it's happened before) but because I knew, no matter what, that I wouldn't sweat (and I didn't) I felt at ease.
Over time, doing more things like that, my mind may adjust and realise that the things that made me nervous are nothing to be nervous about at all. So, I guess I'm reconditioning my thinking through exposure to situations and people and that may be a "cure" of sorts.