Preheat oven to 375.
In a mixing bowl or stand mixer, beat together the butter, yogurt, eggs and brown sugar. Add the cornmeal, flour, soda and salt. Mix until batter forms.
In a cast iron skillet (or other ovenproof 10"-ish skillet), add the olive oil and heat over high heat. Add in the frozen corn and brown sugar and saute for about 5 minutes.
Pour the batter over top of the sauteed corn and stir the corn into the batter. Immediately place the skillet into the preheated oven.
Bake for 30-35 minutes, or until the top begins to golden and a toothpick comes out clean. Let cool slightly before serving.
Serve warm with butter and your other favorite comfort foods.