Sorry to hear your having issues.. but I doubt there is a easy way to fix it, I assume your've already tried the iPad fix everything none destructive reset procedure, in case somethings got screwed up. ie. Hold down the Home key and the ON/OFF buttons until the iPad goes off with a blank screen, keeping them held down until the Apple logo appears and then release.. AIS I assume your've tried this.
It does sound like a hardware issue, so there's probably no alternative but get Apple to repair it... only you can decide if thats a viable option... see what they say..