Hi @elvioso
Well, when you connect the genuine adapter to the laptop, does it detect that there is power supplied to it?
If NO, and you have some experience on working on PC
you can try following this,
https://www.youtube.com/watch?v=VIHknFK23xA
if power jack is defective, you can consider ordering replacement to change it first.
of course there are other more possibilities why it cannot charge.
# Failing Battery
# Bad mainboard circuit @ charging section, etc .