I run Photoshop and LR CC on a 27" 5k iMac with a second monitor (Dell UltraSharp UP2516D via display port).
Both LR and Photoshop are assigned to 'Desktop on Display 2'.
When launched, Photoshop opens on the secondary monitor.
Lightroom always launches on the main screen.
This has occurred on OS X 10.11.3 and now 10.11.4.
Just tried a re-install of the OS due to an issue with my APC UPS supply not showing and it fixed that issue but not this one.
Spoke to Apple support about the above and they could not find any info on their end as to why this behavior might be happening.
Just updated LR (release 2015.5) but no change in the behavior.
Any suggestions? I've got to believe it's an issue with LR since Photoshop behaves correctly.