give up is a verb meaning "lose (s.th.) or lose the right to (s.th.) by some error, offense, or crime". It carries 12 recorded senses.
give up in the face of defeat of lacking hope; admit defeat
“In the second round, the challenger gave up”
put an end to a state or an activity
“Quit teasing your little brother”
give up what is not strictly needed
“he asked if they could spare one of their horses to speed his journey”
part with a possession or right
“I am relinquishing my bedroom to the long-term house guest”
“resign a claim to the throne”
leave (a job, post, or position) voluntarily
“She vacated the position when she got pregnant”
“The chairman resigned when he was found to have misappropriated funds”
give up or agree to forgo to the power or possession of another
“The last Taleban fighters finally surrendered”
Definitions, synonyms and semantic relations for give up come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.