In general, all applications can run in a non-global zone. However, the following types of applications might not be suitable for this environment:
Applications that use privileged operations that affect the system as a whole. Examples include operations that set the global system clock or lock down physical memory.
The few applications dependent upon certain devices that do not exist in a non-global zone, such as /dev/kmem.
In a shared-IP zone, applications that are dependent upon devices in /dev/ip.