Preheat oven to 350 degrees and line two 12-cup muffin pans (or a mini muffin tin).
In a large bowl, cream butter until light and fluffy, about 1-2 minutes. Gradually add in sugar, 1/2 cup at a time, beating until well combined.
In a separate bowl, sift together flour, cornstarch, baking powder, and salt. Set aside.
In a small bowl, mix together milk, lemon juice, vanilla extract, and Greek yogurt.
Alternately add dry and wet ingredients into the creamed butter mixture, beginning and ending with the dry ingredients. Stir until just combined.
Beat egg white until they form stiff peaks. Gently fold egg whites into the cake batter.
Pour batter into cake pans, dividing evenly between the two. Bake for 16-17 minutes, or until a cake tester comes out clean. For mini cupcakes, bake for 8-9 minutes, or until a cake tester comes out clean.