LUST AFTER

or lust for

1.

If you lust after someone or lust for them, you feel a very strong sexual desire for them.

From what I hear, half the campus is lusting after her.

PHRASAL VERB : V P n

2.

If you lust after or lust for something, you have a very strong desire to possess it.

Sheard lusted after the Directorship.

PHRASAL VERB : V P n