Rinse and dry your food processor/blender. Add the cream cheese, Greek yogurt/sour cream, sugar, lemon juice, and vanilla extract. Process until the mixture is very smooth and creamy.
Add the eggs and cornstarch and process until smooth and creamy again.
Add the melted white chocolate, and process for a third time until smooth and creamy.
Pour the cheesecake mixture over the prepared crust and smooth it out in an even layer.
Dollop the strawberry jam onto the cheesecake. Using a knife or toothpick, swirl the jam throughout the cheesecake. Be careful to not go too deep, because you'll mess up the crust.
Bake for 40 minutes, or until the edges are puffed and golden brown, while the center still jiggles a little bit when you shake the pan. Turn the heat off, but leave the cheesecake in the oven. Prop the oven door open and allow the cheesecake to cool for an our or so, or until you can handle the pan with your bare hands. Allow the cheesecake to cool completely at room temperature before refrigerating.
Once chilled (at least 2 hours), you can cut the bars however you'd like.