How do I re-attach my kitchen cabinet's laminate?
I had a similar issue happen with my dishwasher and counter top laminate.  What I ended up doing is peeling it back a bit more to give me access, and picked up some laminate/veneer cement (it is similar to rubber cement).  You apply to both the laminate and the substrate, let it dry for 15 minutes (until it is no longer glossy) then push the two pieces together.  In my case, I was able to line the underside of the countertop with a sheet of poly, which has kept the steam from the dishwasher from working its way up through the particle board substrate.