Really, there needs to be more information given about the situation before a reasonable answer can be given.
In general though, I would say to stay patient. Shit luck doesn't last for forever, and eventually he will bust himself out.
Now, depending on the situation and game type, there may be a couple of other things for you to look forward to.
If it is a cash game, and he is bullying the table because everyone is to passive to call him on his obvious bluffs, then you can switch tables.
If it is a MTT, trust that he will get busted out. And even if it doesn't happen in the next 10 minutes, chances are you will likely be moved tables before you have to endure it for too long.
If it is a SnG, then you wait for a premium preflop hand and bust him out. Or someone will do it for you. Either way, be happy when it happens.
But for the love of god, don't change your style, and don't lower your starting hand requirements in order to play chicken with him. Let him hurt himself, not you. If you cannot control the betting in the hand and it is not a favorable situation, stay out of the hand. And if you know he will go all in, know that you are in control but let him make the decision for you.