desire vs rage

desire and rage both are nouns.

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

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

Other hyponyms of desire include passion, materialism, philistinism.

desire (noun)	rage (noun)
an inclination to want things	an interest followed with exaggerated zeal
the feeling that accompanies an unsatisfied state	a feeling of intense anger
something that is desired	a state of extreme anger
	violent state of the elements
	something that is desired intensely

desire (verb)	rage (verb)
feel or have a desire for; want strongly	feel intense anger
express a desire for	be violent; as of fires and storms
expect and wish	behave violently, as if in state of a great anger