give up vs drop

give up is not a noun while drop is a noun.

Word	Noun	Adjective	Verb	Adverb
give up	No	No	Yes	No
drop	Yes	No	Yes	No

As verbs, drop is a hyponym of give up; that is, drop is a word with a more specific, narrower meaning than give up:

give up (noun)	drop (noun)
	the act of dropping something
	a central depository where things can be left or picked up
	a curtain that can be lowered and raised onto a stage from the flies; often used as background scenery
	a sudden sharp decrease in some quantity
	a free and rapid descent by the force of gravity
	a predetermined hiding place for the deposit and distribution of illicit goods (such as drugs or stolen property)
	a steep high face of rock
	a small indefinite quantity (especially of a liquid)
	a shape that is spherical and small

give up (verb)	drop (verb)
stop maintaining or insisting on; of ideas or claims	give birth; used for animals
give up in the face of defeat of lacking hope; admit defeat	grow progressively worse
give up or agree to forgo to the power or possession of another	go down in value
stop consuming	stop pursuing or acting
give up with the intent of never claiming again	change from one level to another
relinquish possession or control over	lower the pitch of (musical notes)
lose (something) or lose the right to (something) by some error, offense, or crime	fall or sink into a state of exhaustion or death
part with a possession or right	leave undone or leave out
give up what is not strictly needed	omit (a letter or syllable) in speaking or writing
allow the other (baseball) team to score	utter with seeming casualness
leave (a job, post, or position) voluntarily	lose (a game)
put an end to a state or an activity	take (a drug, especially LSD), by mouth
	remove (cargo, people, etc.) from and leave
	to remove
	cause to fall by or as if by delivering a blow
	let or cause to fall in drops
	to fall vertically
	let fall to the ground
	fall or descend to a lower place or level
	pay out
	stop associating with
	terminate an association with
	hang loosely