1. PHRASAL VERB
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. [VERB PARTICLE noun]
2. PHRASAL VERB
If you lust after or lust for something, you have a very strong desire to possess it.
Sheard lusted after the Directorship. [VERB PARTICLE noun]