Was Jesus' power limited relative to the belief of others?

> Mark 6 4-6: > > > 4 Then Jesus said to them, “People everywhere give honor to a prophet, > except in his own town, with his own people, or in his home.” 5 **Jesus > was not able** to do any miracles there except the healing of some sick > people by laying his hands on them. 6 He was surprised that the people > there had no faith. Then he went to other villages in that area and > taught. Like above, there are several examples where He can't heal people because of their unbelief. However, there is a difference: He **won't** vs. He **cannot** - heal someone because of their unbelief and this concept is usually overlooked. Is there anyway to determine if His power was drained or weakened by others and what does that mean for a believer today? Does this mean my level of faith (or vice versa) is analogous to this phenomenon described above? Here we see Jesus only recognizes and heals certain people based on their faith or to demonstrate God's will: https://christianity.stackexchange.com/questions/10192/why-does-jesus-feel-only-certain-people-that-come-into-physical-contact-with-him Any studies, papers, speeches on this?