Currently, getDisplayMedia() is not supported on Android Chrome or Apple Safari. So screen sharing cannot be initiated on mobile browsers with SkylinkJS at this time. However, you can, of course, receive screen share from Web on Mobile.
That said, screen- sharing is a planned feature for our Native iOS and Android Skylink SDKs with a release marked for Q3 2019.
Please see How can I subscribe to release notes for Skylink? to be updated once this is released.