My iPad battery is running down faster than before. Is there a solution here?
I don't think so, but iPads are out of my specific league.
I'll guess, though, that the first thing to maybe consider is how much use it gets/has gotten...whether there's any sort of app, utility, or other iOS magic that can give you a readout of your battery's health?
That's where I'd start, with the Apple Store a possible step two.