Its already confirmed that C# (source & mirror) and DirectX 11 will be on PS4. However not seen any concrete information yet that OpenGL or OpenGL ES will be on PS4.
Technically OpenJDK looks very possible to port onto PS4, probably need to rewrite the OS specific bits though unless the PS4 OS is Linux or Windows NT Kernel (considering the DirectX).
Another thing to keep in mind is that the Gaikai tech (was written in Java on some clients and was Java serverside) will be a big part of PS4, so for all we know they might already have some sort of JVM for it, in addition to the Blu-Ray JVM (Interestingly the Xbox Next will also have a Blu-Ray drive, so also a JVM?).
Speaking of the Xbox Next, rumour has it that it’ll use a modified version of Windows 8 and also be x86 based, so OpenJDK on there also shouldn’t be impossible, although you’ll probably have to have a binding to DirectX for it.