On closer inspection, Oracle has made the licensing terms for its JDK so that they prohibit it from being used to run applications (other than for development and testing).
So, it is necessary to download and install the OpenJDK which is open source and licensed under GPL.
https://jdk.java.net/11/
OpenJDK does not have an installer. This means that to manually install it you have to extract the jdk-11.0.1 folder from the downloaded zip file. Create a Java folder in "Program Files". Move the jdk folder to the Java folder and then edit your system environment PATH to point to the jdk's bin folder.
It is also possible to move the downloaded OpenJDK to the LXSeries4Windows folder where it is sure that the LXFree for Java launcher will find it.
To do this you want to be sure to download the installer for Windows 64 bit and OpenJDK 11 from the LXFree for Java downloads page.
Here's how to make this work:
1) Download and Install LXFree for Java (Windows 64bit and OpenJDK 11). After the install you will get a message that the application requires a JRE and the openJDK webpage (
https://jdk.java.net/11/) will open in your browser.
2) Click on the Windows/x64 zip link to download the openjdk in a zip file.
3) Choose to save the zip file to your downloads folder.
4) Look in downloads for the openjdk zip file. At this time it is named "openjdk-11.0.1_windows x-64_bin"
5) Right click the downloaded zip file and choose "Extract All..." You can uncompress the zip file into the downloads folder.
6) Inside the extracted folder there will be the actual jdk folder. At this time it is named "jdk-11.0.1". Rename this folder "Java"
7) Move this "Java" folder to "C:\Program Files (x86)\LXSeries4Windows"
Double-click the LXFreeForJava application to verify that it launches.