give up on
US /ɡɪv ˈʌp ɑːn/
UK /ɡɪv ˈʌp ɑːn/

1.
abandonner, renoncer à
to stop hoping or believing in someone or something
:
•
Don't give up on your dreams.
N'abandonne pas tes rêves.
•
We shouldn't give up on him yet; he might still recover.
Nous ne devrions pas encore l'abandonner; il pourrait encore se rétablir.