My steps I did to get my ASP.NET MVC application I created on my Windows 10 box running on a Ubuntu 15.10 server.

Setup ASP.NET 5 on Ubuntu following this:
http://docs.asp.net/en/latest/publishing/linuxproduction.html
http://docs.asp.net/en/latest/getting-started/installing-on-linux.html

Update dnvm on windows:

dnvm updateself
dnvm upgrade -r coreclr

Fix the libicu for Ubuntu 15.10:

wget http://security.ubuntu.com/ubuntu/pool/main/i/icu/libicu52_52.1-8ubuntu0.2_amd64.deb
dpkg -i libicu52_52.1-8ubuntu0.2_amd64.deb

Say the web project is “WebApplication1” then console into that folder:

dnu publish
dnx web

Hit localhost and make sure the page load.

Copy the entire “WebApplication1” folder to linux box.
Restore the packages from the “WebApplication1” folder copied to the linux box:

dnu restore
dnx web

Enjoy!