01 - Preheat oven to 375°F.
02 - Heat olive oil in a large skillet over medium heat. Add onions and peppers, cooking until softened and lightly caramelized, about 7–8 minutes. Stir in garlic and cook for 1 minute.
03 - Push vegetables to one side of the pan. Add ground beef to the empty space, breaking it apart with a spatula. Cook until browned and cooked through, about 6–8 minutes. Drain excess fat if necessary.
04 - Mix the beef and vegetables together. Add Worcestershire sauce, salt, and black pepper. Stir well and cook for an additional 2 minutes.
05 - Slice hoagie rolls in half lengthwise. Spread softened butter on the cut sides. Place on a baking tray and toast in the preheated oven for 3–5 minutes until lightly crisp.
06 - Divide the hot beef mixture evenly among the toasted rolls. Top each sandwich with a slice of provolone cheese. Return to the oven for 2–3 minutes until cheese is fully melted and bubbly.
07 - Serve immediately while hot. Optional accompaniments include pickled peppers or additional condiments of choice.