Hello,
Yes you should be able to run that on an Ubuntu 16 droplet.
To install MSSQL(mssql-server
) follow these steps here:
sudo su
- Import the public repository GPG keys:
curl https://packages.microsoft.com/keys/microsoft.asc | apt-key add -
- Add the Microsoft SQL Server Ubuntu repository:
sudo add-apt-repository "$(wget -qO- https://packages.microsoft.com/config/ubuntu/16.04/mssql-server-2017.list)"
Note: you could change the 16.04 part with the exact Ubuntu version that you are suing
exit
sudo apt-get update
sudo apt-get install -y mssql-server
- Run the following commands to install SQL Server:
sudo /opt/mssql/bin/mssql-conf setup
- After the package installation finishes, run mssql-conf setup and follow the prompts to set the SA password and choose your edition.
systemctl status mssql-server
Source: official Microsoft documentation
Regarding the .NET core install, you could follow step one form this article here:
https://www.digitalocean.com/community/tutorials/how-to-deploy-an-asp-net-core-application-with-mysql-server-using-nginx-on-ubuntu-18-04
Hope that this helps!
Regards,
Bobby

by Oluyemi Olususi
ASP.NET Core is a more modular version of Microsoft’s ASP.NET Framework. It's a high-performant, open-source framework for building modern web applications. In this tutorial you'll set up and deploy a production-ready ASP.NET Core application with a MySQL Server on Ubuntu 18.04 using Nginx.