assist vs support

assist and support both are nouns.

Word	Noun	Adjective	Verb	Adverb
assist	Yes	No	Yes	No
support	Yes	No	Yes	No

As nouns, support is a hyponym of assist; that is, support is a word with a more specific, narrower meaning than assist:

assist: the activity of contributing to the fulfillment of a need or furtherance of an effort or purpose
support: aiding the cause or policy or interests of

As verbs, support is a hypernym of assist; that is, support is a word with a broader meaning than assist:

Other hypernyms of assist include back up.

assist (noun)	support (noun)
(sports) the act of enabling another player to make a good play	aiding the cause or policy or interests of
the activity of contributing to the fulfillment of a need or furtherance of an effort or purpose	the act of bearing the weight of or strengthening
	documentary validation
	a military operation (often involving new supplies of men and materiel) to strengthen a military force or aid in the performance of its mission
	the activity of providing for or maintaining by supplying with money or necessities
	any device that bears the weight of another thing
	supporting structure that holds up or provides a foundation
	something providing immaterial assistance to a person or cause or interest
	a musical part (vocal or instrumental) that supports or provides background for other musical parts
	the financial means whereby one lives
	financial resources provided to make some project possible

assist (verb)	support (verb)
act as an assistant in a subordinate or supportive function	establish or strengthen as with new evidence or facts
work for, or be a servant to	put up with something or somebody unpleasant
give help or assistance; be of service	adopt as a belief
	argue or speak in defense of
	be a regular customer or client of
	be the physical support of; carry the weight of
	play a subordinate role to (another performer)
	support materially or financially
	give moral or psychological support, aid, or courage to
	be behind; approve of
	support with evidence or authority or make more certain or confirm