Eggplant "Pizza" (Patlicanli Pide)

This is a Turkish recipe from Anissa Helou 's Savory Baking from the Mediterranean. The dough is very simple to make (and when I'm too tired to make the eggplant part of the recipe, I have sometimes topped the pizzas with leftover baingan bharta = Indian mashed eggplant dish). This time, I tried to follow the recipe, with the third eggplant bought at the store the other day.