this search for a fix started when i found my gn2 would stutter when getting into the "zone" and start randomly causing accidental touches. from the gn2 forums i found that the sensitivity can be adjusted via a potentiometer in the pen itself.
on my gn10.1 i found the pen too sensitive. in order to draw the thin lines i had to almost hover over the screen and in doing so i ended up with choppy thin lines. after decreasing the sensitivity i can now draw consistent thin lines after adding just a smidge of pressure.
to adjust the sensitivity you'll need to remove the cover of the click button. a razor should do the job. the fastener is on the back end (towards the samsung logo). a little upwards force and it'll pop off easily. after removing, you'll see two pots. the one on the left is the one you want to mess with (dunno what the one on the right does).
using a small screwdriver turn the pot clockwise 1/8 a turn at a time to decrease the sensitivity, counter clockwise for increase. find the setting that suits you the best and reassemble. this trick kept me from making a trip back to the sprint store and exchanging a phone (no replacement stylus yet).