How to set multiple commands in one yaml file with Kubernetes?

My preference is to multiline the args, this is simplest and easiest to read. Also, the script can be changed without affecting the image, just need to restart the pod. For example, for a mysql dump, the container spec could be something like this:

containers:
  - name: mysqldump
    image: mysql
    command: ["/bin/sh", "-c"]
    args:
      - echo starting;
        ls -la /backups;
        mysqldump --host=... -r /backups/file.sql db_name;
        ls -la /backups;
        echo done;
    volumeMounts:
      - ...

The reason this works is that yaml actually concatenates all the lines after the "-" into one, and sh runs one long string "echo starting; ls... ; echo done;".

command: ["/bin/sh","-c"]
args: ["command one; command two && command three"]

Explanation: The command ["/bin/sh", "-c"] says "run a shell, and execute the following instructions". The args are then passed as commands to the shell. In shell scripting a semicolon separates commands, and && conditionally runs the following command if the first succeed. In the above example, it always runs command one followed by command two, and only runs command three if command two succeeded.

Alternative: In many cases, some of the commands you want to run are probably setting up the final command to run. In this case, building your own Dockerfile is the way to go. Look at the RUN directive in particular.