External screen turns off after macOS boots - Mac Mini
Solution 1:
I had the same issue with EV3237 Monitor. Also, when I was lucky that the Mac Mini somehow started to send a signal, then the screen would go black randomly for a few seconds while I was working on it.
I tried the PRAM and SMC thing - no difference. I tried HDMI - no difference. On the other hand, I had no issue on a LG 4k 27" Monitor.
Finally I found a way to stop this: On the EV3237, I turned off the power saving feature. Now, my Monitor will only be off when I turn it off. On the other hand, I have a stable screen now. Somehow the signal from the Mac Mini seems to initiate a power saving on some monitors I guess.
So try to turn off power saving on your monitor.
Solution 2:
I would suspect PRAM has some bad contents. Check this article on how to reset PRAM:
https://support.apple.com/en-us/HT204063
Additionally, you may need to reset SMC:
https://support.apple.com/en-us/HT201295