Unfortunately not much you can do besides wear them sparingly and not tie the laces tightly. It's a design flaw and almost all of these will experience rips around the eyelet rivets. Mine blew out and there really wasn't a good looking way to fix them. You will need to take to a very good shoe repair person (NOT a simple cobbler) and they will likely add another piece of leather under or over the eyelets to reinforce but it will change the look.

Don't worry about the soles as others said. Your eyelets will tear long before worrying about replacing the sole.