The eggplant flowers kept falling off without getting anywhere near fruiting though the plant was flourishing beautifully. What to do? I decided I needed to become a bee. In other words, I needed to pollinate the flowers myself. (Please, people, I will not tolerate smarmy risque jokes on this blog - this is very, very serious stuff.)
I took a soft-haired - say, a #0 or #1 watercolor brush and swirled it around the pistil and the stamen inside the flower. I did this every morning in each flower on the plant. Each time, I made sure that I've got some pollen from the anther (the one with the yellow powder) of the stamen transferred to the stigma or the top of the pistil.
Finally, I could tell that all this was working, because the faded flowers did not just fall off the plant like they did before. Not only did they not drop, but the receptacle and the peduncle started to thicken and before long - ah! the shiny purple bulb of what the English call the aubergine started peeking out from under the green skirt of the sepals.
For a refresher course on primary school botany, here is a drawing showing The Parts of a Flower, or in higher fallutin' terms: