Cut the eggplants into thin slices and roll them in flour. Place them in a frying pan with plenty of oil and fry on both sides until lightly golden brown. Then place the finished eggplants on a paper towel to remove the oil.
Crush or finely chop the garlic, grate the cheese on a fine grater and chop the dill. Add salt and pepper to taste, season the mixture with mayonnaise.
Transfer the fried eggplant slices to a board and spread the filling on them in an even layer, roll them up. If necessary, secure the rolls with toothpicks or skewers.