want vs lust

want and lust both are nouns.

Word	Noun	Adjective	Verb	Adverb
want	Yes	No	Yes	No
lust	Yes	No	Yes	No

As verbs, lust is a hyponym of want; that is, lust is a word with a more specific, narrower meaning than want:

want (noun)	lust (noun)
a specific feeling of desire	self-indulgent sexual desire (personified as one of the deadly sins)
anything that is necessary but lacking	a strong sexual desire
a state of extreme poverty
the state of needing something that is absent or unavailable

want (verb)	lust (verb)
wish or demand the presence of	have a craving, appetite, or great desire for
have need of
hunt or look for; want for a particular reason
feel or have a desire for; want strongly
be without, lack; be deficient in