Preheat the oven to 375 degrees F.
Peel and core the apples and cut them into thin slices. Set the sliced apples aside. In a medium-sized mixing bowl, combine the flour, sugar, 2 egg yolks, milk, and yeast and stir gently until a batter forms.
In a separate bowl or in the bowl of an electric mixer fitted with a whisk attachment, whisk the egg whites until they form firm glossy peaks. Gently fold the egg whites into the batter, leaving a few white streaks so as not to over-mix the batter.
Lightly butter a 8-inch baking pan then dust with bread crumbs, shaking off any excess crumbs. Lay the apples slices in a decorative manner at the bottom of the pan and gently pour the cake batter in around the apple slices. Bake until the top of the cake is golden brown and a skewer inserted in the middle comes out clean, about 1 hour.
Recipe courtesy of Mario Batali