Heat a large skillet over medium heat. Add the ground beef to the skillet and break apart with a fork. Cook the ground beef until brown and a deep crust begins to form.
Continue cooking until no longer pink.
Using a slotted spoon, transfer the beef to a bowl and drain off all but two tablespoons fat.
Add the onions and bell peppers to the skillet.
Cook for 1-2 minutes before stirring, then toss the vegetables and continue cooking for an additional 1-2 minutes until softened and beginning to caramelize.
Return the beef back to the skillet.
In a small bowl, whisk together the beef broth and cornstarch.
Add the ketchup, Worcestershire sauce, salt, black pepper, garlic powder, beef broth/cornstarch mixture to the skillet and stir.
Simmer the sloppy joe mixture for 5-8 minutes or until beginning to thicken.
Remove the skillet from the heat and stir in the provolone cheese.
Served on hamburger buns.
Notes
Philly Cheesesteak Sloppy Joes can be made up to 24 hours in advance and stored in an airtight container in the refrigerator. Assemble on the hamburger rolls right before serving.