Hi JN,
The condition you are describing is called Hyperhidrosis, a condition where the body sweats profusely and this mechanism is controlled by our sympathetic nervous system, examples are: excess sweating of the hands, axilla (Under Arm), face, scalp, and sometimes feet this is present in 0.6 to 1% of the population.
There are many options for treatment, however keep in mind, most are temporary and only “treat” the symptoms, i.e...sweating and not the cause. This condition can only be permanently corrected by surgical means.
For detailed information I am adding a link:
http://www.hyperhidrosis-usa.com/ets.html?gclid=CK-ix9OEq...
HOWEVER…
I do not recommend surgery for your daughter. My friend had the surgery. Before the surgery he had smooth skin, oily at times, but wrinkle free. Once he had the surgery his skin ALL OVER his body started to feel and appear dry. Yes, the profuse sweating under his arms was gone but the effects on his skin as a whole were detrimental. No woman wants dry wrinkled skin – period.
As stated by a few of the other mothers Botox is an option, however, under the arms injections can be painful. If you pursue this option please note, the result will only last for 3 to 4 months and will need to be repeated. The average cost for Botox is $10 to $15 per unit. The amount of Botox needed is subjective and biased on a per person basis.
If you choose to use Drysol this link will help you understand the product and the side effects:
http://www.drugs.com/mtm/drysol-topical.html
This is a personal issue that often causes embarrassment and self image issues and needs to be addressed with Care and sensitivity.
I wish you the best of luck,
D. Jones