I use 5 minute epoxy. Cover the damage with epoxy, and use c clamp to press the edge back in place. I cover the clamp with cellophane so that it doesn't become glued to the edge. When it's dry, scrape off the excess epoxy, and fill the hole with a p-tex candle. Sometimes I mix up some fresh epoxy and cover the damage again before I drip in the p-tex. That seems to make it hold a little better.
Leave the damaged edge on the outside. You'll never notice the difference.