Pork with shallots

6 tablespoons vegetable oil, divided (plus more if needed) 1 1/2 cups chopped onions 1 cup diced carrot (1/2-inch dice) 2 tablespoons minced serrano peppers 3[...]

4 pork chops, about 1/2-inch thick or 4 boneless skinless chicken breasts salt and pepper flour , for dredging 2 large egg whites, slightly beaten 1/2 cup[...]