What are the temperatures it's getting to, are you blocking the vents when using it, what programs are you running on the laptop to make the temp high, is it automatically shutting down due to the temp. Also remember it's summer and the ambient temp can be high.
Do you have any pictures to backup your "literally melting" statement as that insinuates the casing has physically melted, companies like Samsung would take this type of issue very seriously.
Also ring support lines a few times if the first one fobs you off, lazy incompetent staff work for every company and sometimes it takes a few phone calls to get a good one who will help.
