As you now know, liquids and electronics and electricity are not a good mix.
The minerals in the water cause corrosion and the water also provides circuit paths for the electricity which were not in the game's operating design and could damage the components. The corrosion process starts immediately and will not stop until it has been thoroughly cleaned away
First do not turn on your device and then you need to with the device turned off, remove the battery as soon as possible from the device to minimize further damage.''
Then you need to dis-assemble the rest of the device and clean all the affected parts using Isopropyl Alcohol 90%+ to remove all traces of corrosion and water. Do not use "rubbing alcohol" as in some cases this is only 70% or less and is not as effective. If you do check the label to verify the amount
Here is a link that describes the process.
Electronics Water Damage
As always with electronics, especially surface mounted PCBs be gentle when handling and especially when brushing away the corrosion. You do not want to remove any components from the board.
Hopefully after you have done all this the device might possibly work correctly again.
Here is a link to the [ifixit PlayStation Vita Repair guides for the PlayStation which may be of some help
If you decide to do this, do it sooner than later.