Sleeping baby

My week old always wakes up screaming/crying at night because he threw up all over himself. It’s always a few hours after his feeding (an hr or an hr & a half) Sometimes he doesn’t burp after a feeding, even when I try for 10 minutes lol. So I’d just lay him in his crib & he’d fall asleep. But even if he does burp he ends up puking.

What can I do? Can I keep him a bit elevated?