Stimulating appetite
I started looking online for information about kitty eating problems. The first thing I found was this page, which talks about reasons why cats stop eating. Notice that bad teeth is on this list. However, Prince had his teeth out almost 5 days ago, and he's still not eating, so that may not be the cause.
However, this list also includes antibiotics. I looked up what they've got Prince on, clindamycin, and sure enough — it causes nausea, vomiting, and upset stomach, all of which will cause a cat not to eat. There's not much left, only perhaps a day or two, so I'm going to stop giving it to him and see if he'll start eating again.
I also looked for ways to stimulate his appetite. There are a few drugs that can do that, but apparently cat nip does as well. I gave him some tonight, and he ate it quite happily (as did my other cat, who is a cat nip fiend and was not about to be left out!). Hopefully tomorrow, once the antibiotics wear off and the cat nip kicks in, he'll start eating on his own.
Obviously cat nip isn't a cure for fatty liver disease, but it sure can't hurt to give your cat a little and see what happens!