Be no match for someone
Put up a good fight
Be in a league of their own
Get off to a good start
Fight a losing battle
To be better than anyone else at doing something.
To begin an activity succesfully.
To work very hard, to fight, to compete in a difficult situation.
To try hard to do something when there is no chance taht you will succeed.
To be not as good, strong, clever, etc as someone you are competing against.