What type of intrinsic motivation and extrinsic motivation did John have for coping with his disorder? for the movie a beautiful mind

Intrinsic Motivation is a type of motivation wherein a person would behave in a way because he enjoys it not because he has something to gain financially or anything. Extrinsic are focused on prized and rewards.

One of the examples of John's intrinsic motivation in the movie is he choose to see those characters that he encounters in his hallucinations but he did not interact with them anymore. He choose to see them because he enjoys their company around. but probably, he knows that they are just a part of his sickness but he did not talk to them because that is what he supposed to do. Those characters are not real and they are just a product of his mind.

As of extrinsic motivation, when he received a noble prize award and other recognition he knows that he should keep on doing and discover new things about math and formula which he was passionate about in spite of his sickness.