The name Liev is a boy's name of Yiddish origin meaning "heart". Liev and is often added to lists like Unique Baby Boy Names and discussed in our forums with posts like "What names have we missed?".
From the experts:
Liev Schreiber's birth name is Isaac Liev, Liev after his mother's favorite Russia author, Leo Tolstoy. Though Liev is increasing in popularity in the secular world thanks to the actor, it originated as a Yiddish diminutive.