I recently performed a Clean Install of Win. 10 on a previously Win. 8 laptop. The problem I'm having is that when the laptop is not connected with the power cord it will start the boot process for about 4 seconds and then will just shut off. It doesn't get past the initial "Gateway" logo with the loading circle. If I then connect the power cord and boot the laptop after trying to start it without the cord, it will boot up properly but once I try to log in to my windows user account it will restart itself or just shutdown. Sometimes it will restart a few times before finally running correctly. After it stops restarting itself with the power cord connected, I shut it down, boot it up again (still connected) and now it starts right on the first try. So if I just keep starting it after that while it is connected there is no problems. If I disconnect the power cord while the laptop is on, it will not shut down and holds a charge perfectly.
I had this problem when it had Win 8 and is why I did the upgrade thinking it might be a software problem. I'm in the middle of trying to calibrate the battery by charging to 100% and then letting it die. I'm pretty sure this won't help but its something that I can try for now. THanks