My nephew's Nintendo 3ds has this problem. One night he connected the charger and the next morning the console was dead. No response whatsoever, totally bricked.
Today I had time to try to repair the console and because the battery self-discharge, today was working. I have charged the battery and measured the voltage, when is over 3.8 volts the machine doesn't work.
I think that i will have to change the complete motherboard, but anyone has a better idea?