Samsung might increase the size of the screen without much of a increase in the overall size just like what they did in Galaxy S4.
If you were wishing to see a flexible screen in the Galaxy Note 3 then you are in bad luck. Mass production of flexible screens will not be underway when Note will be releasing.
Note 3 might releasing in the fall just like its predecessor, Note 2. Note 3 is expected to ship with the Exynos 5 Octa and the Android 4.3 operating system.
Galaxy Note 3 Display