I've seen many setups with bad grounds do this, start your car, test the voltage at idle on your underhood battery, system off, then go to your amp, put the positive dmm on the amp input positive and the ground dmm on the actual ground where you are grounded, if its not lined up with under the hood, in your case will likely show far less than under the hood, you have a clog in your electrical due to a bad ground.
Something to try to help solve the issue