Database server with logic. Which server should i use?

I am developing an app which needs to send xml data to a server, and request it from the server.

The server needs to store the data in a database and perform logic on some data.

What kind of server should i use?

Should i use a regular webserver like Apache to perform the data transfer and something like MySQL to store the data?

Or should i just run a java programm on a server with sockets for data transfer and Sqlite for data storrage?

I am totaly new to server programming, so my aproach would be the second one. Or is there a total different solution to my problem?