Is the edge loose, and separatimg from the base, or is it just a gouge.
If it's just a gouge tour in luck. This is going to be the easier of the two to Fix. I suggest using a bit of p-Tex. Its a very simple DIY task. Just order some online, and look up a tutorial. Shouldn't take longer than 10 minutes to patch up.
since it is so close to edge, prior to p-tex I would take some really thin expoxy and seal it. West system found in west marine would be good , it is thin and will seal cracks. then follow up with a ptex candle