The answer is simple. Just pump sea water from the warm coastal rim to the cold interior of Antarctica. I'd go nuclear plant for the pumps, but there is a lot of wind energy from the cold winds blowing down to lower elevation.
Now the bad news: you only need about 362 km^3 of water pumped for each mm of sea level rise.
http://www.antarcticglaciers.org/glacie ... evel-rise/
Sarcastic? Not really. Impractical, most likely. But Elon might make it work, if you tell him Bezos is ahead of him in trying it.
(Fixed link, and added gripe about cm's. Inches, feet, or proper MKS SI units please)