Like the poster above said, it is all about throttle control, and balancing the car's weight shifting.
Often for cars like an Elise, Berlinette (sp?), Yellowbird and Cobra, I usually apply somewhere around half throttle during cornering. Obviously you need to apply either less or more to keep the car in check.
As stated above me, watch out for the lift off oversteer. When you are heavy braking, make sure to apply the throttle a little while releasing the brake peddle, that will stop the rear end stepping out.
Of course, don't punch the accelerator either unless you're confident the car is going to be planted when leaving the turn. It's usually better to gently rise up to full throttle while pointing in as straight a line as possible.
Another thing that you could do is to lower the rear brake bias settings, let the front brakes do more of the work. Fitting an L.S.D and whacking that up will also straighten out the car, but it will be more difficult to turn.