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Related to stay up: stay up late
1. To remain awake beyond one's normal bedtime. I need to stop staying up so late—I can barely function at work! You go on to bed, I'm going to stay up for a little while and read.
2. To remain in public view. I hope those campaign posters don't stay up much longer, I'm so sick of looking at them. The decorations stay up on our neighbors' house months after the holidays are over.
stay up (for something)
to remain awake and out of bed for some nighttime event. I will stay up for her arrival. I can't stay up that late.
1. To remain awake: I stayed up all night reading.
2. To remain on display: Their Christmas tree stayed up until February.
3. To remain well informed: They stay up on current trends by reading fashion magazines. I don't know how doctors stay up with all the new research.