Expose webserver's chunk api by d-a-v · Pull Request #7134 · esp8266/Arduino
This API is already existing but not quite exposed nor used in examples.
It allows to dynamically build and send large webpages without needing to store everything in a single memory buffer (namely String with all bad implications).
FSBrowser example has been slightly modified.
As a consequence it does not support HTTP/1.0 anymore.