Our home GE I discovered was Samsung built, and this spring developed water pooling under the deli drawer that's under the crisper drawers. The pool would then freeze and stick to the drawer bottom and the deli drawer wouldn't open.
Online I found several approaches to the same fix the previous poster mentioned... replacing or augmenting the metal strip in the evaporator's drain port thats supposed to keep it too warm to freeze and plug up. When the drain freezes the water overflows, runs down inside the wall and to the floor under the drawers. Using the original as a pattern I made my own simple strip out of aluminum sheeting, but with a longer "tail" that goes down into the port further than the factory one, and with fingers that wrap thoroughly around the heater tube. It's worked fine since, so the fix does prevent the drain tube from freezing closed. There was a small amount of gunk that I flushed out of the drain tube, so ice isn't the only possible plugging culprit.
Of course your leak could be from an entirely different source, but this one apparently has been a common malady with Samsung-built units.
Joel