Prepare the Dough:

1. Activate the Yeast: In a small bowl, combine warm milk and granulated sugar. Sprinkle the yeast on top and let it sit for 5 minutes until it becomes frothy.
2. Make the Dough: In a large mixing bowl, combine the yeast mixture, flour, softened butter, egg, and salt. Stir until the dough starts to come together. Knead the dough on a floured surface for 5-7 minutes, or until smooth and elastic.
3. Let the Dough Rise: Place the dough in a lightly oiled bowl and cover it with a clean towel. Allow the dough to rise in a warm place for about 1 hour, or until it doubles in size.

Prepare the Cheesecake and Strawberry Filling:

4. Make the Cheesecake Filling: In a medium bowl, beat the softened cream cheese, powdered sugar, vanilla extract, and sour cream together until smooth and creamy. Set aside.
5. Prepare the Strawberry Filling: In a small saucepan, combine the chopped strawberries and granulated sugar. Cook over medium heat for 5 minutes, stirring occasionally. If desired, stir in cornstarch to thicken the filling. Set aside to cool.

Assemble the Rolls:

6. Roll Out the Dough: Once the dough has risen, punch it down and turn it out onto a floured surface. Roll it out into a 12×18-inch rectangle.
7. Spread the Cheesecake Filling: Spread the cheesecake filling evenly over the rolled dough, leaving a small border around the edges.
8. Add the Strawberry Filling: Spoon the cooled strawberry filling over the cheesecake filling, spreading it out evenly.
9. Roll the Dough: Carefully roll the dough up tightly from the longer side, making a log shape. Slice the roll into 12 equal pieces and place them into a greased 9×13-inch baking dish.

Bake the Rolls:

10. Let the Rolls Rise: Cover the rolls with a towel and let them rise for about 30 minutes, or until they’ve puffed up and are slightly touching each other.
11. Bake: Preheat your oven to 350°F (175°C). Bake the rolls for 25-30 minutes, or until golden brown and cooked through. The edges should be slightly crisp, while the center remains soft.

Glaze and Serve:

12. Make the Glaze: While the rolls are baking, whisk together the powdered sugar, milk, and vanilla extract until smooth. If the glaze is too thick, add a bit more milk until it reaches your desired consistency.
13. Top with Glaze and Strawberries: Once the rolls are done baking, remove them from the oven and let them cool for a few minutes. Drizzle the glaze over the warm rolls and top with sliced fresh strawberries.