Sounds like you're issue may be hardware based. Maybe the graphics processor unit or an issue having to do with power.
Good place to start is to see if the issue is power related. Disconnect the power adapter and try to boot up the laptop with just the battery. See if issue pursists. Then disconnect the battery from the laptop and set it asside and boot up with just the power adapter plugged in. See if issue pursists.
This is a good place to start when you're having power issues with a laptop. The test is to see if you're issue is comming from the power adapter or your battery OR the laptop itself.
Would like to know what you find.
Good luck.