Amazon Elastic Compute Cloud (Amazon EC2) is part of Amazon Web Services. It provides "resizable compute capacity in the cloud"---in other words, it allows you to run what are essentially virtual private servers of various sizes and capabilities. It is relatively straightforward to set up a WebObjects application server on an EC2 instance. There are several flavours of Linux available as base images to customize.

First, keep in mind, though, that Amazon EC2 instances are just giving you instances of some different operating systems. For example, as of April 2021, one sees:

The installation instructions for a WebObjects deployment are exactly what those for your chosen operating system. If you have picked an operating system and the deployment instructions are old or incomplete, that should tell you something. There may be dragons.

Amazon Linux 2

Instructions for Amazon Linux 2 are TBD.