I was recently flying my P3S and it shut off after landing.  I was unable to turn it back on after that.  I press the battery button quickly and then press and hold.  The battery lights come on and hold for about 5 seconds then shut off.  At about 3 seconds there is a small click inside the drone(on the left side as you are looking at it with the battery lights pointing at you) and then the battery turns off.  The click sounds like it is coming from just behind the battery terminal inside the drone.  Has anyone else had this problem before?  

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Did you recharge the battery after flight?

Does the battery power on when not in the Phantom?  

The battery is fully charged and seems to function normally when not inserted in the drone.  

It may help to clean the pins inside battery compartment, and make sure they are making a solid connection.

Is there any chance change to another battery to verify? If the issue remains, I'm afraid that you can send the unit in: https://www.dji.com/support