Cut off the top of the apple. Scoop out the inside with a melon baller. Cut and throw away core. Cut the nice apple flesh left into small cubes.
Cut up the cheese the same size than the apples and place in a bowl with the apple pieces.
Mix apples, cheese, brown sugar and cinnamon well. Fill apples with mixture.
For pie crust roll out dough and cut into 4 pieces per apple. Arrange in a simple lattice and brush with egg white.
Place in a deep pan and fill with a 1/2 inch of water. Cover with aluminum foil and bake for 15 minutes. Uncover and bake for an additional 20 minutes.