Question 2011 MacBook Pro shows no signs of life other than the green charging light on the side ?

[palmsaresweaty]

I recently got a late 2011 MacBook Pro 13-inch and it does not turn on at all.
I checked the motherboard and there appears to be nothing wrong other than a tiny amount of corrosion near the ethernet port.
Does anybody know what could be wrong with it?
The charger does work by the way.