hi, im just a beginner in electronics i know very few things,
so, does your LG monitor work with adapter?, like 12v or 19v, if does, i had a similar experience and i found out that the adapter although it was working, but somehow it couldn't turn on the whole TV and the screen stays black, and that adapter was runs the monitor for long time, so maybe it got tired,
i dont know if this is the case about your monitor, but maybe you can check the adapter and like i said if your monitor work with one.