Aborting after V1 does not gaurantee you will have enough runway to stop. A flight control malfunction after V1 is a serious emergency and you are left with the only option of getting airborne with trim and force or crashing at the end of the runway.I would deffinately give it everything I had to get it off the ground. Now depending on the Airplane in this scenario, you might be able to stop if you CAN NOT get airborne based on how long the runway is. for example: youre in a citation or something small on this 10500ft runway and you absolutely can not get airborne then you might have the option of stopping in time. But I would never rely on getting stopped. Just remember that a flight control malfunction is not part of aircraft certification like an engine failure is, so their really is no right answer in this scenario.