Can you ran an ethernet from the above apartment to your apartment?
if so, you can try getting your own router (does not have to be a verizon router and I recomend against getting a verizon) and connecting it to the main router. I do this in my home and there is a guide wirtten here detailing how to do such a thing.
http://www.tomshardware.com/forum/33700-42-ultimate-modem-router-setup-thread
The second router (your router) will act as a slave router. You will want to disable DHCP and set the routers DNS to the main router's IP. This will effectivly extend the first routers coverage into your own apartment and allow you to have your own router. You can also enable your own wireless with its own name and password assigned to you. This way any desktop can plug in directly and your laptops and phones can conenct to your router wirelessly.
I will double check my settings when I get home to make sure I detailed this properly. I do this same thing in my house with a router on the main floor and a router in our basement acting as a slave router.
Your second option is something you already know about, wireless boosters or repeaters. These will work too but the advantage is less compared to having your own router in your apartment. If you can get the wireless repeater mounted near the cielcing it might work better than what you currently have. They also tend to have much better signal receptance than a phone or a laptop so it might work better than you think.