Verizon will likely not be able to do much besides the long drawn out process of trying to install a mini cell near you. Unlikely unless you are in a market where Verizon is needing more density.
As you have 2-3 bars outside, it may be worthwhile to consider a cell phone repeater system that will help you and your neighbors with service. It's something that can be pitched in for complex-wide. Invest in something capable of LTE. The building management may be of some help here.
. Verizon does sell a Network extender, although be aware that these come at an additonal cost of needing broadband service at home, plus any data caps the broadband ISP may have for excessive data use. It.also does 3G only, so it has compatibility problems with newer devices. They also cause problems for other tenants barely in range of the extender, whereas your standard phone repeater wouldn't cause issues.
