lust vs desire

lust and desire both are nouns.

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

As verbs, desire is a hypernym of lust; that is, desire is a word with a broader meaning than lust:

Other hypernyms of lust include want.

lust (noun)	desire (noun)
self-indulgent sexual desire (personified as one of the deadly sins)	an inclination to want things
a strong sexual desire	the feeling that accompanies an unsatisfied state
	something that is desired

lust (verb)	desire (verb)
have a craving, appetite, or great desire for	feel or have a desire for; want strongly
	express a desire for
	expect and wish