I know these frameworks to work with web applications:
- Lapis: https://github.com/leafo/lapis
- Sailor: https://github.com/Etiene/sailor
- Luvt: https://github.com/luvit/luvit
There is also the Pegasus.lua - http://evandrolg.github.io/pegasus.lua/ -, it is a http server to work with web application written in Lua