has any blood has been drawn?
does the other pig wheak when her ears bitten?
could the other pig possibly be in harm?
If those questions above were answered with a no then I am pretty sure it's just dominance rather then being aggressive. Your one piggie who is biting the others ears could be trying to say " hey I'm the alpha" and is trying to show who is boss, then again they could be just grooming. My pigs do this a lot and they all seem fine with it

so unless your pigs could be getting hurt I wouldn't worry to much, of course if it gets really bad then you will have to separate them.
I know when had my foster pigs our one girl (Ingrid) would chase our other girl (Jasmine) around the cage pulling her fur out, it was horrible. I told the shelter what was going on and the shelter told us to separate them,then the two girls were paired with different
pigs(neutered males) anyway now
I do hope that there's nothing serious going on between your girls so keep me updated please! Just remember that if it's possible for one of your girls to get hurt you must separate them for there safety. Even though your girls are bonded there's still that slight chance that they could turn on each other and become aggressive like my fosters.
hopefully this helps a little bit good luck!