What do you mean by mean competitors? Do they say mean stuff? Give you dirty looks?
In my sport, its very individual so the only thing I can do is give my best and not worry about them. There was this girl at my my rink who was publicly yelling at me and being rude. I realized that it was because that I was better than her.She was upset cause she had been skating most of her life and I had only been skating for a little over a year. I just ignored her and talked to my mom about it and over time she's being nicer and not talking rudely to me.
You also have to know how much is to much. If she is openly being mean then should loudly ask her what her problem is.