Preheat oven to 375 degrees. Lightly spray a 9” tart pan with a removable bottom with nonstick cooking spray. Line a baking sheet with foil.
Roll out the pie crust between two pieces of parchment or waxed paper in a circle a couple inches wider than the tart pan. Gently transfer the dough to the prepared tart pan. Wrap a sheet of foil around the outside of the tart pan. This will keep your oven clean as the caramel tends to seep out while the tart is baking.
Put the sliced apples in a large mixing bowl and squeeze the lemon juice in. Toss to coat. Add the brown sugar and salt. Mix until the apples are completely coated with the brown sugar. Arrange the apples in a circle around the outer edge of the pan, overlapping each other slightly. Continue to arrange the apples in concentric circles, working toward the center of the pan. Make sure the apples fit snuggly. Pour the juices accumulated in the bowl over the apples and drizzle on the melted butter. Bake for 55 to 65 minutes or until the apples are tender when pierced with a knife. Check the tart after 35 minutes and once the crust and the tips of the apple slices have browned, lay a sheet of foil over the top of the tart and continue baking.
Let the tart cool in the pan for 10 minutes, then remove the foil and outer ring of the tart pan and continue cooling on a wire rack. If the tart cools too much before removing the outer ring of the pan, the caramel will harden, making it difficult to get the tart out of the pan. If this happens, simply put the tart in a warm oven (300 degrees) for 5 minutes and it should come right out. While the tart cools, make the caramel sauce.
Caramel Sauce
In a small sauce pan over medium heat, bring the brown sugar, cream, and butter to a boil. Stir to dissolve the brown sugar. Continue cooking until the sauce is thick enough to coat the back of a spoon, about 5 minutes. Take off the heat and stir in the salt. Let the sauce cool slightly, then drizzle on top of the tart.