1. Cut the apples into quarters and soak them in water with lemon juice to prevent them from oxidizing.
 
2. Whip the eggs and apple juice into an omelette.
 
3. In a non-stick pan, melt the butter. Add the apple quarters and cook for 2 minutes on each side. Sprinkle with maple syrup and cook for 2 minutes to caramelize.
 
4. Add chopped rosemary. Season with salt and pepper. Transfer the apples to a plate and set aside.
 
5. In the same pan, pour in the beaten eggs; cook for 2 minutes. On half of the omelette, arrange the roasted apple quarters.
 
6. Fold the omelette in half and serve for breakfast or lunch.